Using Properties of Logarithms to Condense Logs

[@albertocayentejunior8025]

first math mathematician that writes neat

[@profrobbob]

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[@profrobbob]

You're welcome and thank you for choosing my videos to watch and learn from:)

[@profrobbob]

I am so glad you feel more confident about working with log functions now. They do freak out a lot of students! Thanks again for watching and the great comments and feedback.

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Your welcome! Thanks for watching:)

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Thank you so much! Thank you for watching as well. I am very happy you are finding my videos so helpful. Please help me by spreading the word about my new math changel and supporting the ads too. Though they are annoying they help the video producer as well as KZbin. I hope you do great in your class. Sorry to make you try to repost your comment so many times. I am a full time high school teacher and my students use my videos..so to be careful I approve comments before they are shared.

[@profrobbob]

You're welcome...and thanks for watching! Good luck:)

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[@TomokoAbe_]

You really have to practice these problems a LOT. Only a few "rules or properties" with regards to these arrangements, but there are many varied variations of the theme which can only be cleared up with practice. This is the best video I ever seen explaining them.

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[@profrobbob]

Thanks...that just shows me what a good student you are and that you went back and checked your work:) That is a great attribute...BAM!!!

[@profrobbob]

You can combine logs that are being added with multiplication so ln((x/(x-1))((x+1)/x)-ln(x^2-1). The x's will cancel giving you ln((x+1)/(x-1))-ln(x^2-1). Combine the subtraction as division and don't forget to factor the difference of squares x^2-1 and (x+1)(x-1) as you are simplifying.

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Thanks you for that compliment. That's why my wife and I are working so hard building this KZbin channel...we want to make it available for students everywhere to get good FREE math help. But it takes viewers like yourself sharing their stories and my channel with friends, classmates, Facebook, Twitter, your school math department....you get the idea:) Thanks for taking the time to watch and share a comment...please spread the word for me:D

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Thank you for noticing and learning:) ...and look at you watching all these videos...you're woking on that "A" aren't you?!

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[@profrobbob]

You're welcome Sarah Kenney ! Sorry for the delayed reply to your glowing compliment:( Thanks for choosing #ProfRobBob and subbing...I hope you are still learning and sharing my channel with others too:D

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Not a problem. I'm happy to say that I made a very good grade in college algebra thanks to your videos!

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Sarah Kenney BAM!!! and congratulations on your successful study habits:)

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I don't even know how to thankyou!!! You are a life saver!! I would have failed my math class if it weren't for you! You are incredible!

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Literally you are a life saver. Fast and simple videos with great explanations and examples THANK YOU

[@profrobbob]

...are you still studying Dorian Brown ?! Now I KNOW you are going to pass that test like BAM!!! Go make me proud:)

[@profrobbob]

Pharmacy huh?! WOW!!!..I must admit, I had to google what the PCAT was...I saw it was July 17th, that was my father-in-laws lucky number, I'll be thinking positive thoughts for you!...and I'm happy to hear that my videos were advanced enough to help you study:)

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[@profrobbob]

THANKS Joey!...and thanks for studying and subbing...please share this channel and tell your classmates and teacher to watch and do the same:D

[@profrobbob]

Log base 4 of 17 is a separate term. To be able, or need, to distribute that value to a collection of other terms you would have log17(term + or - term).

[@emiligrendze9391]

Love your videos! You definitely are an amazing teacher who understands a very effective way of making learning fun and simple!! Thank you

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You're welcome...glad to hear it helped you:)

[@profrobbob]

There is a part 1 to this but I also have all my videos key-worded as well to make it easy to search for specific things.

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I saw a video of yours in my AP Algebra II class and you helped explain our textbook section WAY better than the actual book itself. Since then I have found your videos to be fun and informative to watch. You make math way easier than it seems learning from other sources and this is coming from someone who struggles in the subject. Thanks Prof. I will like and subscribe for sure!

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You're welcome and Thanks for taking the time to send such an awesome compliment/comment The Bushna I'm happy to hear that you have continued to watch my videos and found that learning math "can" be fun and informative at the same time...BAM!!! Please be sure to THANK your teacher for me, for showing my videos in class...I hope you and the rest of your class will continue to learn and benefit from my channel for years to come:) ...and make sure you remind them ALL to like, subscribe, support the ads, share thru social media and with all their friends in order to keep this free educational channel growing and remain free:D THANKS for the help!

[@48kathyd]

You are a great teacher and you make it kinda fun. You've made it easier for me to grasp an understanding of Logarithms. Thank you Thank you Thank you again.

[@ricelover796]

youre so much more better than my current math teacher...thanks for elaborations!!!!

[@profrobbob]

New Closed Captions #math Using Properties of Logarithms to Condense Logs

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Your'e welcome...thanks for choosing my channel to learn from!

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Thanks for making all the helpful videos. I've already subscribed and probably watched 20 of them in the last month. These are so helpful while studying for semester exams! Keep up the work. I plan to use this as a reference through the rest of my high school years.

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You're welcome Addison Waege and thanks for subbing and choosing Tarrou's Chalk Talk to learn from! I hope you will share my channel with the rest of your class and friends too:D

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I started to write a reply stating that I already had...then searched my channel and I did not find any!? How did that happen??? You are right, I should. It will be a little while, but I am putting that on my list. Thank you for watching and commenting.

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Thanks for the compliment and for supporting and subscribing:)...now BAM!...go spread the word about me dude!!!!!

[@Dingokiller420]

I'm an engineering student and am taking Calculus II. I had not realized until this point that I somehow missed logs entirely swapping schools in high school. My professor quickly brushed past basic log properties and went on to integrating natural logs. I was more than lost as I had no idea what a log function was or how to use one. I have cruised through a few different peoples' videos in an attempt to educate myself over the weekend to be more prepared come Monday, and found you not only educational in a way I could understand but also entertaining. Thanks for the videos!

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Thanks...I hope you will tell all your friends about my channel and your experience!

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I just wanted to take a brief moment to thank you! You have been a true lifesaver this semester. Who thought it would be good idea to take an online math class this semester (oh yea me, thats who) I think I might of gone crazy with out your help! thank you and I hope life treats you well!

[@Funnymaniac101]

I never understood logarithm in high school. Now I'm in 2nd year economics, and I just learnt logarithm under an hour! Thank you sir!

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My confidence just boosted by watching your videos! Thank you so much!

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You are so welcome John, I love to hear that and thanks for choosing Tarrou's Chalk Talk to learn from and subscribe to and I hope you will start spreading the word too!

[@ChaoticSerenity]

Reviewing for the PCAT next week, and this is a major help. Thank you so much for posting these videos. :)

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You can change the quality up to 720p. Thank you for watching and your support.

[@tomshelley4881]

DUDE you are a extremely good teacher!!!! keep it up tarru ur the man!!!!!!!

[@profrobbob]

Remember that your example equals -1*(log(1/6)...so -1*(log1-log6). This expression is almost simplified completely. One of those two log terms can be evaluated without a calculator:)

[@profrobbob]

Thanks

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Sir, your are truly a legend and a saviour !! its so unfaired that i pay loads of fee at school and have to deal lame teacher.. you should make a video lecture company sir i have strong feeling you'll give more help to more students!1

[@daveshut]

This has been very helpful. I'm a junior in high school, and my teacher doesn't go in depth enough. This has helped me understand this concept much better. Thank you for making this video. Also, I like the classic use of the chalkboard. Go RobBob!

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+dave_shut thanks for liking, learning, studying and subbing to my channel and appreciating my "old school" way of teaching! Please keep sharing this channel with friends, classmates and teachers...it helps them and helps us keep growing:D

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As a junior in Highschool taking pre calculus next year you inspire me to do more math. I always find math fun. It is like solving a missing piece in a game. Thanks for uploading! Your videos are very simple and easy to understand, Thanks😊👍🏾

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+Kaleb Chanet you're welcome and THANK YOU for choosing my channel to be "inspired" by and for taking the time to "thank the teacher", study and subscribe to this channel! Your teachers are lucky to have such a self motivated student like you and I hope you will share your excitement and this channel with everyone:D

[@TheBlissfulNinja]

our teacher links these videos for extra help, thank you so much for explaining things in a way that makes sense!

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Please be sure to THANK your teacher for us TheBlissfulNinja and also remind everyone to like, subscribe, support the ads and keep spreading the word since that is how these free educational channels groW and remain free:D ...and thanks for "doing your homework" !

[@HosigakixKisame]

Best youtube vid out there about Logarithms thank you so much!!! Liked

[@tremclean4050]

This video just saved my college career. Thank You

[@profrobbob]

+Tre McLean thanks for watching, liking, subbing and taking the time to study! YOU saved your college career, I was just there to help:) Keep it up...you just made this teacher proud!!!

[@joemikhail2838]

For your example..after you distrubuted the 1/2 at 4:50 in the video, what happened to the 2 in the second term of the equation? did the 1/2 cancel it out??

[@joemikhail2838]

Joe Mikhail sorry i meant at 4:35

[@profrobbob]

I replied to you four months ago when I didn't know what I was doing yet...and realized I didn't use the reply button. Thanks for the comment:)

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I don't have a words that how could i say thanks A bandul of thanks and GOD give to lot of happiness in your life and all of your dreams become true thanks again!!!

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thank you!

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you're welcome...thanks for watching!

[@TechTubeCentral]

I may or may not have skipped class when logs were being covered and may or may not have a test on this tomorrow. Thought I knew logs when looking at a pratice test I got and was freaking out. THANK YOU! Not sure if you do trig based precalc but i'll keep you in mind for next semester!

[@profrobbob]

Glad I could remind you:)

[@MrManWhatt]

Thanks for the informative video. It was a big help!

[@sargebeats]

BAM!! My math instructor does the same thing except when he leaves the room most of the students are still confused, lmao.

[@profrobbob]

Sounds like you need to share my channel with the rest of the class then...BAM!!!

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Thank you! I enjoy your videos! They're very helpful : )

[@arabmd1505]

thank you sooo much ..i really love the way you teach it's waaaaay easier than my teacher ............:D

[@nairks5082]

I am very happy to get to know these properties but can I know where I can get the explanations for the rest of the properties?

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You're welcome...I hope you will come back whenever you feel like "kinda having fun" learning math:)

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Your A Life Saver . . Thank You !

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You're welcome Jennifer...thanks for watching and liking!

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Really helpful !! #Respect +ProfRobBob

[@keerthivardhan5028]

good examles & nice explanation

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awesommmeeeee tyvm for the breadth of examples you provided! I have all of those types in my textbook!

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Thanks for watching Whitelotus

[@chasehoover2299]

Great Video and thanks for the help u definatly rose my grade up

[@meshatabebe5420]

THANK YOU OML YOU SAVED MY GRADE

[@georgesadler7830]

Professor RobBob, thank you for another outstanding video/lecture on Using Properties of Logarithms, however the equal signs continue to be missing from all the examples. Each example problems are worked out without no equal signs. I hope students are aware of this problem in each example.

[@Terencenacho]

BAAAM!! thank god you made maths so much interesting and apprehend! able to catch up in class! thanks mate and more videos plss!

[@profrobbob]

483 videos should help get you thru the summer while I work on growing my current library:)...lol Thanks for all the support and please keep spreading the word Terence Nacho !

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oh definitely cheers! +ProfRobBob

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And THANK YOU loyal subscriber/viewer for that LOL visual!!!

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i learned a lot.thank you sir !!!

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You're the man! Gonna ace this test now. Thank you !!!

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You're welcome! Now go pass that test like BAM and make me proud!!!

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please excuse my dope ass swag

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Thank you so much!

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Thank you very much ! Your videos are very helpful !! The way you explain is simple! Thank you :))

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thanks for your helpful lesson

[@profrobbob]

BAM!!!

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I love you so much you life saver!!

[@profrobbob]

+verlene10 thanks for choosing my channel to like, sub and study with! Please tell all your friends, class and teachers to watch and do the same:D

[@TheMeltone1]

Thank you for the great videos! I say "BAM" in my head after I complete a problem now .

[@nguyen1314]

on 4:48 last step how do you gets 1/2 inside instead of 2 .. i gets confused on that part.

[@profrobbob]

1/2 * 1 is 1/2. I am not sure I understand where you question came from...sorry.

[@norkci8090]

haha. thanks for this. you made math more fun than it already is! BAAAMMM!!!

[@profrobbob]

+Ronick Palomino you're welcome and thanks for choosing Tarrou's Chalk Talk to study with and sub to...I hope I can keep making math FUN for you and all your friends and classmates:D

[@ridog1234]

You are an absolute life saver. Thank you so so so much.

[@profrobbob]

You are so so so welcome...glad I could save you from drowning in the sea of math:) ...and thanks for subscribing, and please spread the word about my channel!

[@4hfamily673]

Great video absolutely love the way you explain BAM!!! Although I am still a little lost on what to do if I have a natural log of multiplication and natural log of division should I combine them? Ex: ln3 + lnx - lny - 2lnz Or am I making it more complicated then it should be.

[@profrobbob]

USMC-BREW You could do ln3+lnx - (lny+lnz^2), then ln(3x)-ln(yz^2), finally ln((3x)/(yz^2)) You handle natural log just like any other log base:)

[@StaffSergeant304]

thanks you so much, since my math teacher can't teach i have to come here for help.. very helpful dnt stop making videos -from olympia high in orlando florida

[@profrobbob]

You are so welcome Fabio Bandarra and a shout out to you and Olympia High in Orlando! Thanks for taking the time to seek help and choose my channel to learn from...please support this Florida teacher and share your experience with the head of your math department so they can share my channel as an additional learning reference for all their students:D...and it's important to SUBSCRIBE to these FREE educational channels too:)

[@1997rahul]

About to save my butt for a test tom, Thanks for the help!

[@profrobbob]

BAM!...Your'e welcome!

[@chadhayes939]

you should do a video on expanding logs

[@IvanHernandez-vo4jx]

very helpful!!

[@profrobbob]

thanks for studying and subbing!

[@minukjeong7647]

You're so fun to learn from. I hope you were my math teacher. Come to Clackamas high school!

[@profrobbob]

+Minuk Jeong THANKS! Just share my channel with those 2,000 students, tell them to sub and then you can ALL have me as your after school KZbin teacher...BAM!!!

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Where’d you learn to write that good ...?

[@profrobbob]

I learned calligraphy in middle school and after that my cursive became better than my printing. If you need a break from math I have a few cursive lessons too:)

[@maleevitayapanna7981]

ProfRobBob that's awesome, Mr. Tarrou! I'll definitely look into that after my precal test I'm studying for 😆

[@profrobbob]

@@maleevitayapanna7981 and don't forget to sub and share this free channel with all your friends, fellow students and your teachers who are working from home thru this pandemic...and stay well!

[@Lando1Live]

8:30 would it have been correct to further simplify (x+7)^5 to (ln7x)^5 give an answer of (ln7x)^5 / lnx^7

[@JiHyun881]

what if the negative sign before tho log..ex= -log1/6 ????afterall..thank you..!!always support cha...

[@MrWarmWeather]

you're alotta fun:D I like you're style.