Solving Logarithmic Equations [fbt] (Step-by-Step)

[@pauldow1648]

What makes a great math professor .... His her enthusiasm . Holding and following students attention. Explaining and reviewing key words, their meanings and use. Helping students to 'get it'. Rock on Mr.whitt.

[@speedspeed121]

As a 41 year old who went back to college, I am preparing for the math assessment. For some reason, log and ln equations were bothering me. Your videos finally made it click! Thank you!

[@FortBendTutoring]

+Eric Hanaway That's wonderful 2 hear Eric! I'm glad the video helped! Thanks 4 watching!

[@greyeyedone_2119]

I wish you well as I am a returning adult college student too.... these videos have helped me a great deal......👩🏾‍⚕️

[@Swags-fl5tv]

Thank you so much for your videos! I'm finally going to college at 38, and I never even made it to these classes in high school, so I'm way behind the 8 ball, but your vids are helping me keep up, all A's in math! Thank you again!

[@larrywilcox4068]

It's never to late to go to college. Enjoy!

[@aljohnson3717]

It took me more than 30 years since high school and my college and then cross the Ocean and immigrate to the USA, to FINALLY find your video and have all logarithm mystery to be explained. Thank you so very much, Sir!

[@FortBendTutoring]

Awesome Al! Thanks 4 watching!

[@keithhudson3138]

It's April 2020. It was a tremendous help.

[@FortBendTutoring]

Happy 2 help Keith! Stay safe! 👨🏾‍🏫😀

[@ShaelieVogel]

AAHHH its been 3 years and i found this guy again! cool

[@FortBendTutoring]

+Shaelie Vogel lol Welcome back Shaelie! I missed you! ;-)

[@yassmin4096]

I am not even a US student and I enjoy these lessons . They really helped me to understand more . And my favourite part is ( Red box in it ) . Right now I hold my red pen to frame the answers . Thanks for your extraordinary and tremendously astonishing work .

[@azureskys]

My pre-cal teacher ran out of time and didn't go over this so I've struggled since to understand. This video finally made it click. Thanks so much!

[@FortBendTutoring]

Thanks for your support! We're very pleased this video helped you. Keep us posted on your progress and we'll do our best to assist you!

[@FaithAtSea]

This was so helpful!! Feeling super confident about my exam today thanks to you

[@FortBendTutoring]

Happy 2 help Faith! Thanks 4 watching!

[@andalucian7434]

Your videos are amazing and very helpful as always

[@rodasaddis8881]

You are a blessing to my Algebra 2 grade!! I got an A on my previous test :) Thank you so much!!

[@FortBendTutoring]

+rose addis That's fantastic Rose! Congratulations on your A!

[@ilovecroissants]

god bless you you make things so easy to understand but actually enjoyable at the same time

[@FortBendTutoring]

Happy 2 help! Thanks 4 the feedback!

[@a_mango707]

Can’t believe this was made in 2013! It has helped me so much thank you! :)

[@FortBendTutoring]

My pleasure Ava! 👨🏾‍🏫😁

[@KarausMiller]

You guys are so awesome. Y'all make learning math very easy to understand.

[@FortBendTutoring]

+Karaus Miller Happy 2 help Karaus! Thanks 4 watching!

[@donahkellybriggs9292]

Thank you. You were helpful. I got some clarity on how to solve exponential equation with base.

[@FortBendTutoring]

Happy 2 help Donah! Thanks 4 watching!

[@MariahMtz1596]

Thank you! You are very easy to understand. I have a test this Thursday and I hope I do well.

[@FortBendTutoring]

+Mariah Martinez You're welcome Mariah! I hope you do well 2! Good luck 2 you and keep practicing each day before the test!

[@pinklady7184]

Excellent teacher.

[@terencewright2223]

Excellent video , thank you very much.

[@worldleaderuzzieh]

on my third cup of coffee and im studying for a precal test tomarrow, god help me

[@FortBendTutoring]

+Supa “pussyslayey69” Troopa Good luck on your test! I'm rooting 4 you!

[@worldleaderuzzieh]

Thanks! I enjoy your videos man

[@_A_343]

lol

[@pinklady7184]

Teaholic here.

[@iamajunky]

Wow this makes things so much clearer that what the books explains.

[@FortBendTutoring]

Happy 2 help Kevin!

[@derpderp3882]

Thanks, this really helped me out and so many others struggling with this topic.

[@FortBendTutoring]

Yes, it's another notation for an exponential expression or equation. Focus on perfecting converting between the two formats and perhaps your understanding of the equations will follow.

[@gerald5484]

Oh. Thanks for the help. This done so good but yeah why is it so hard? Even though I tried solving many logarithmic problems, still can't get it tho. Any help or suggestions out there? Hoping for your good response. Thank ya!

[@FortBendTutoring]

+Gerald John Jabagat Sure. Maybe this will help: kzbin.info/www/bejne/naOnY5iQnLGkoqc

[@aakashkarajgikar3935]

11:08 This seems like a QUADRATIC equation to solve, where in quadratic equations, I like to complete the square! 12:48 They will work, as well as we got the exact same value for both of them!

[@jamarchina]

Hello, Mr. Whittington! I love your videos. Incidentally, do you have any videos that introduce the concept of the logarithm or explain the properties of logarithms? I haven't taken the time to read through the 75 comments; so if you've already provided a link, I apologize in advance.

[@barbarabrooks4005]

Very helpful! Thanks Teacher.

[@FortBendTutoring]

+Barbara Brooks My pleasure Barbara! Thanks 4 your patronage! 😀

[@anantichristian]

good tutorial, thanks

[@setudoshi7037]

At 19:42 in the video,there is an important note in the factorization of the quadratic equation.the equation (3×x squared - 15×x +2x) factorises into (3×x +2)(x-5).Thats a better way and easier.

[@FortBendTutoring]

+setu doshi Thanks 4 sharing Setu!

[@atiyah90]

Thank you for helping me get ready for my final!!! my nursing degree depends on it

[@deen7310]

Thank you very much! This helps a lot!

[@FortBendTutoring]

Happy 2 help! Thanks 4 watching Dee!

[@dike.hoffmanngalaxynote265]

thank you for your explanation

[@FortBendTutoring]

+Dike.hoffmann Galaxy Note2 You're very welcome! Happy 2 help!

[@mrlogicalism4799]

thanks mr witt I'm a sure subscriber of u your videos are awesome .......I hope u would make more videos

[@FortBendTutoring]

+ALI There are more coming soon! Thanks 4 subscribing!

[@anabellabella2266]

thanks a million!!!!!

[@FortBendTutoring]

You're welcome a million Anabella!!!!!

[@DangOlTellYouHwhat]

earned a sub just for the intro xD

[@FortBendTutoring]

+CallMeRussianBear Thanks RussianBear! I appreciate the sub! 😁

[@thestrongwolf9259]

Thank you so much 🖤

[@aakashkarajgikar3935]

12:52 These are my favorite types of problems! I don't like it when a system has extraneous solutions. Did you also know that I was watching on another channel called "The PreMath Channel"? And what happened is he had a similar problem, where both the solutions were extraneous! And I was really disappointed when I heard that! I always like real solutions to an equation.

[@semhararadom1491]

Perfect

[@thinkingmom1193]

Greetings and thank you. In problem number four why did you flip the fraction?

[@FortBendTutoring]

+thinking mom So that the fraction on the right matched the one on the left. I wanted the bases to be the same.

[@thinkingmom1193]

Fort Bend Tutoring Thank you ☺.

[@gagoopemolamu4324]

just wonderful .......

[@FortBendTutoring]

+Gagoope Molamu Thanks Gagoope! I appreciate the feedback! :-)

[@1DPhil.]

Was really helpful. confusion and perplexity has vanished.

[@FortBendTutoring]

Awesome Damaine! Happy 2 help!

[@icon818]

thank you sir

[@FortBendTutoring]

+Jayk Rey You're quite welcome Jayk!

[@thutomaebe7282]

just awesome...

[@FortBendTutoring]

Thanks Thuto! We appreciate the support!

[@majhoool100]

thank you

[@FortBendTutoring]

You're very welcome!

[@dannysanchez8280]

will you have any statistics videos in the future?

[@FortBendTutoring]

We have "Finding Probability: Deck of Cards" already posted. Statistics is a topic we won't be diving into heavily in the near future. You can try some of the channels we suggest on our main page for help in this area.

[@dogwithwigwamz.7320]

Danny Sanchez There`s a website called Examsolutions, created by an English bloke ( not I ), that covers Statistics quite comprehensively. I see a year has passed since your post, but I surmise anyone whom was interested in maths a year ago is - as likely as not - still interested in it today.

[@sanjanakaur7027]

Thx for helping !! :)

[@FortBendTutoring]

+sanjana kaur My pleasure Sanjana! Thanks 4 watching!

[@gwen.waters]

thanks a lot!

[@FortBendTutoring]

My pleasure Gwyneth! Thanks 4 watching!

[@mikerich8661]

In problem #9, I added log (x + 2) to both sides to avoid using the Quotient Rule as much as possible.

[@CalebSearcher72]

Noah: Here is how I represent Logarithms LOGa (XY)= LOGa^x + LOGa^y another way you could write it out LOGa (X over Y) = LOGa^x + LOGa^y LOGa^xn = Common LOG X = N = 10^n LOG base to a LOG A^x = N = A^n Natural LOG LNX = N = E^n if Y = A^x then X = LOGa^y ( E ~ 2.71828

[@FortBendTutoring]

Thanks 4 sharing Noah! Great work! Except the LOGa (X over Y) = log (base a) X - log (base a) Y.

[@uiticus]

Mr Whit, I am trying to solve without a calculator the log base 10 of 1.5. Using exponential notation I can rewrite 1.5 as (10^1)(10^.5). using the log property this should equal to log(10^1) + log(10^.5). This should equal to 1 + -.3010=.6989. But that is the wrong answer. Since the log of 1.5 actually is 17609. What did i do wrong?

[@FortBendTutoring]

Your error is 1.5 does not equal (10^1)(10^.5). (10^1)(10^.5) is approximately 31.6228.

[@uiticus]

@@FortBendTutoring Thank you sir! I see my mistake. Thank you for all the great videos you posted. I learned a lot from them. I appreciate it!

[@kotosqoposrly]

What about logs with powers adding and subtracting each other?

[@FortBendTutoring]

+kotosqopos This should help: kzbin.info/www/bejne/d4qVhXSBqLiKo5o If not, setup a paid online tutorial at TutorMeMath.net.

[@nyebots]

I'm just here for the intros...

[@FortBendTutoring]

lmao! I totally understand! :-)

[@rezaarian237]

I have a question !? 6:44 we have an equation. we know if we change the value from one side we must change it for the other side too. But here we are changing just for one side. why is that? Thank you in advance :-)

[@FortBendTutoring]

The reason the other side of the equation is not affected is because we’re not changing the value of the right side of the equation. We’re just changing the way it looks. Only when you change the value of one side of the equation is it necessary to make the same change to the other side to keep the equation balanced.

[@tedq22]

Where do you find all theses rules

[@FortBendTutoring]

Various math textbooks. Your math textbook or math resource should have them.

[@tugger]

confused about #6, if we can't take logs of negatives, wouldn't 8 minus -3*-39 be 8-117= -109, a very negative number? wouldn't this be an extraneous solution or a DNE then?

[@FortBendTutoring]

+tugger You're incorrect. 8 -3(-39) = 8 + 117 = 125.

[@matokurin]

great

[@katherinedamsa5781]

How come you can cancel out same logarithms but you can't cancel out same exponents base for example, 10^log10^.01 = 10^x. Why werent the 10's cancelled out at 5:53? Thanks

[@FortBendTutoring]

The 10’s (the bases, not the exponents) could have been cancelled at that point, but it would have taken us back to the previous step and not closer to our answer.

[@katherinedamsa5781]

Would it be possible to get the answer if I would have done that... It's confusing me, sorry! I like to know if I did a mistake- making it longer if it would still be possible, just in case. Thanks, you have awesome vids.

[@FortBendTutoring]

Try it and see. If you prefer another method that gives you the correct result, do it.

[@dphunk87]

i tell everyone in my class about these videos, now i say "get the arrows poppin' "

[@FortBendTutoring]

+Deighton Lewis Thanks Deighton! We appreciate you spreading the word and please continue 2 Get Those ARROWS POPPIN'! :-)

[@dphunk87]

Those arrows were seriously poppin' this morning on that exam. Crushed it.

[@FortBendTutoring]

+Deighton Lewis lol Awesome! Keep up the great work Deighton! I'm rooting 4 you!

[@dphunk87]

I made a 99! Thanks so much!

[@nourssaif]

I have fallen in your video love

[@FortBendTutoring]

lol That's awesome! Thanks 4 your patronage!

[@maryam4587]

awesome

[@rickb1875]

hey i cant find factoring trinomials part 2

[@FortBendTutoring]

+Uchiha Minasuke kzbin.info/www/bejne/iWSqf6CefpVgqbc

[@250089]

Please solve following log3/4log8(x²+7)+log1/2log1/4(x²+7)-1=-2 here 3/4 is base of log 8 is base of log 1/2 is base of log 1/4 is base of log in second term -1 after (x²+7) is the exponent of (x²+7)

[@FortBendTutoring]

We would love to show you how to do this! Setup a paid online tutorial at www.TutorMeMath.net!

[@zxsani5032]

I love u, u are a god

[@FortBendTutoring]

Thanks 4 the support Zesani!

[@dianefrancesmora187]

How do i do this? x^12=e^12

[@FortBendTutoring]

Raise both sides to the 1/12 power and remember your square root property rules.

[@dianefrancesmora187]

@@FortBendTutoring thank you !

[@milagrosgranados1316]

I was really trying to understand and I just don't understand it. 😫

[@beverlyfrancis8433]

25=x^2. So x=neg and pos 5.

[@FortBendTutoring]

That’s correct Beverly!

[@PanookyDooky]

what about (3^x+1) +5( 3^x-1) -7( 3^x) +21 =0 ?

[@FortBendTutoring]

+Diana Dydy Hey Diana! This should help! kzbin.info/www/bejne/j16zknmde6l_kM0

[@PanookyDooky]

Thank you !!!

[@bloshbeckard1989]

on example 3, why -2?

[@FortBendTutoring]

+Ariel Claros This should help: kzbin.info/www/bejne/oF7Yq3R5itqhqLM

[@esmereldavilla-lobos4907]

its a joint but ok..ill put it down😂😂

[@FortBendTutoring]

Lmao! Nice 1 Esmeralda!🤪

[@elijahj-l825]

this CAT is bad!!!!! :O

[@CalebSearcher72]

Noah says LOG X + LOG ( X - 3 ) = 1 LOG ( X ( X - 3 )) = 1

[@aakashkarajgikar3935]

8:51 Why don't you box around the whole thing here? Why don't you box the whole "1 = x"?

[@FortBendTutoring]

I don’t decide where the box goes Aakash. The box decides.

[@aakashkarajgikar3935]

@@FortBendTutoring I don't understand what you mean. If you don't mind, then can you please tell me what you actually mean? How does a "box" decide where itself should be?

[@FortBendTutoring]

It has a mind of its own Aakash. I can’t control it. I’m sorry. 🤫

[@aakashkarajgikar3935]

@@FortBendTutoring Ok thanks for letting me know!

[@huzefar6162]

There is not a single high leaves question

[@FortBendTutoring]

Hi! Thanks 4 watching!

[@hawahamis5184]

Please sir help me this:2^x=4x

[@xian7205]

2^x = 2^2x

[@FortBendTutoring]

Solving Exponential Equations [fbt] (Step-by-Step) kzbin.info/www/bejne/j16zknmde6l_kM0

[@PinWorthyHomeFinds]

so confused still omg omg omg why

[@FortBendTutoring]

Check out our recommended channels list for another explanation from a different teacher. Good luck!

[@PinWorthyHomeFinds]

+Fort Bend Tutoring thanks i will do that

[@smahane5664]

dude :)

[@FortBendTutoring]

+Positive yes lol Thanks!

[@yassinel1882]

I have no idea about what log means sorry :(

[@FortBendTutoring]

It's a different way to express exponential values in base 10 and other bases.

[@TravisPluss]

Can you slow down?!

[@FortBendTutoring]

+Travis Pluss No Travis, no. Listen faster. That's something you can control. 😳

[@okiyiwisdom591]

please could you solve logxbase3+log ybase4=5 2logxbase3+3log y base 4=12 now please

[@FortBendTutoring]

+Okiyi Wisdom Sure! Setup a paid online tutorial at TutorMeMath.net!

[@mereataskander7686]

(x+5)(x-4) does NOT equal 2x^2+x-10.... seriously?

[@FortBendTutoring]

+Mereat Askander lol No one said it did. The factorization in the video is (2x + 5)(x - 2). What were you watching? Seriously Mereat! ;-)

[@hunghua4082]

Mayby : Mereat Askender said No eight.

[@FortBendTutoring]

I was referring to number eight as well. However, I should have given her this link for clarity. Here you go Mereat: Factoring Quadratic Trinomials: Part 2 [fbt]kzbin.info/www/bejne/iWSqf6CefpVgqbc

[@hunghua4082]

Thanks. I like fbt very much.....

[@FortBendTutoring]

We appreciate your support Hung Hua!

[@mayla445hhhh8]

thank you

[@FortBendTutoring]

+Mayla445 Hhhh You're welcome Mayla! 😀