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

This video by Fort Bend Tutoring shows the process of solving natural logarithmic equations. Two methods are shown in this video. There are eight (8) examples in all. The lesson is instructed by Larry "Mr. Whitt" Whittington. Intro/Outro by Chuck Knipp's Shirley Q. Liquor.
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[fbt] Video Timestamps
00:00 [0] Intro and Subscribe to Fort Bend Tutoring
01:06 [1] 3ln(x) = 9
04:01 [2] ln(2x) = 5
05:20 [3] ln(x) + ln(x²) = 3
07:15 [4] ln𝒆ˡⁿˣ - ln(x-3) = ln(2)
09:55 [5] ln(5-x) - ln(-3-x) = ln(1-8x)
16:40 [6] ln(5+4x) - ln(3+x) = ln(3)
18:24 [7] ln𝒆ˣ - 2ln𝒆 = ln𝒆⁴
20:14 [8] ln𝒆ˣ - ln𝒆³ = ln𝒆³
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Solving Logarithmic Equations
• Solving Logarithmic Eq...
Solving Exponential Equations
• Solving Exponential Eq...
Solving Quadratic Equations: The Quadratic Formula
• Solving Quadratic Equa...
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[@FortBendTutoring]

Here's some helpful timestamps 4 this [fbt] logarithm video! [fbt] Video Timestamps 01:06 [1] 3ln(x) = 9 04:01 [2] ln(2x) = 5 05:20 [3] ln(x) + ln(x²) = 3 07:15 [4] ln𝒆ˡⁿˣ - ln(x-3) = ln(2) 09:55 [5] ln(5-x) - ln(-3-x) = ln(1-8x) 16:40 [6] ln(5+4x) - ln(3+x) = ln(3) 18:24 [7] ln𝒆ˣ - 2ln𝒆 = ln𝒆⁴ 20:14 [8] ln𝒆ˣ - ln𝒆³ = ln𝒆³ Peace, Mr. Whitt

[@IMeanIGuessWhatevs]

I can't stop laughing at the intro 😂😂😂😂👌 "These is numbas, they can't hurt nobody."

[@FortBendTutoring]

Lol Glad you enjoyed it Careem!

[@brenytakz]

😂😂😂😂only seeing this after 7 years the intro is a killer 😅😅😅

[@connorsmith3471]

This guy's swag increases exponentially through out the video.

[@FortBendTutoring]

Thanks 4 the shoutout Conner!

[@evapratoluna9068]

An EXCELLENT video/tutorial which explains natural logs extremely well! They are a part of my Higher mathematics course which I couldn't get my head around for a long time, you have cracked the code! Thanks from Scotland :)

[@mouseshrooms]

Very good and easy to understand. Definitely worth the 20 minutes.

[@FortBendTutoring]

Zainin Thanks 4 spending it with us!

[@mystudent11]

At 5 minutes and 20 seconds I knew I had to become a subscriber. Love your Technique and the way you explain things.

[@lauunabia7891]

The way you narrate it was popping bro, love it. Subscribed!

[@reptarxalice]

This video restored my love for math. Haven’t had love for math for about two months.😭

[@FortBendTutoring]

+reptarxalice Happy 2 help! Thanks 4 watching! 😁

[@mcryancortes1923]

Mhan, it's already late here but I don't need a coffee to watch this video without falling asleep.

[@HarrySmith-hr2iv]

Larry you're a good maths teacher. No doubt about it.

[@FortBendTutoring]

Thanks 4 the support John! I appreciate it! 👨🏾‍🏫😁

[@mrlevylev3102]

I had spent around 2 hours trying to work out a log equation, out of desperation I came onto youtube, luckily I found your video and have now solved the equation because of what I learned here! thank you so much :) keep those arrows POPPING!! :)

[@FortBendTutoring]

Lol! That's amazing! Glad I could help! :-)

[@Peachios5]

THIS WAS FANTASTIC!

[@mado309]

Thank you very much. Your time is appreciated and was a great aid for me.

[@FortBendTutoring]

Thanks 4 your feedback! I'm really happy the video helped!

[@racheljeehye]

getting my arrows poppin..LOVE IT! thank you, best tutorials on YT

[@Reformed4good]

"Take a deep breath and congratulate yourself. I am learning Mathematicals!" OMG. The ending is as good as the beginning!

[@FortBendTutoring]

lol Glad you made it 2 the end! It's good 2 hear someone appreciates the little touches we add 2 each video!

[@kendrixpentecostes9217]

Im a freshmen in MIT , this video helped me to understand this topic. Using this to pass my exams tommorow. Thanks to [ Fbt ]

[@FortBendTutoring]

Happy 2 help Kendrix!

[@bobwineland9936]

Kendrix. I'm 77 years young but have always loved math. You couldn't ask for a better teacher young man. Good luck with your career.

[@mongezi_rsa7001]

Wow! Nobody would teach better then u mister...I bow!🙏

[@FortBendTutoring]

Thanks 4 the respect and support Mongezi_RSA! I really appreciate it! 👊🏾

[@cindylawrence8899]

I'm 50 years old and just starting college. I have looked all over the internet for help with logarithms and natural logarithms. I just wasn't getting logarithms. YOU DID IT. You explained it so this old brain FINALLY figured out what I was doing. THANK YOU

[@FortBendTutoring]

LOL! You're very welcome and we're glad to help!

[@peachlife5118]

This was one of the most helpful tutorials I have watched for math on YT. Thanks so much sir!!!!

[@FortBendTutoring]

+Yasmine Xo You're very welcome Yasmine! Thanks 4 watching!

[@tonyluebbert9045]

Very helpful video that explains it very well, thanks!!

[@cool98ish]

This was very understandable! Thank you so much!

[@nicholasmartin6353]

Awesome video. I love natural logarithmic equations!

[@Ahmed-ny1xc]

you are better than my teacher, THANKS FOR THE HELP!!

[@FortBendTutoring]

+ahmed amiri My pleasure Ahmed! Thanks 4 watching!

[@hayespipes]

Thank you so much for your help! Natural logarithms are a breeze for me now! :)

[@summonskall]

Your Tutoring channel has some of the best videos iv'e seen! ^-^ Love the intro btw. :)

[@FortBendTutoring]

+Jonas TheMadScientistRyan Thanks 4 the feedback Jonas! :-)

[@TheCrazy243]

This is my new favorite math. Ha. I'm not even in college yet or in advance math class. But I will. You explain really well.

[@FortBendTutoring]

Thanks 4 watching and the great feedback!

[@user-mp7ho4qk5u]

Outstanding! Well presented

[@billmilstead1473]

Nice job! Enjoying this video very much!

[@FortBendTutoring]

+Bill Milstead Thanks Bill! Happy 2 hear it!

[@kobeleung5062]

thanks a lot im from HK, you are really a good teacher and pay a lot of patient

[@fera5165]

What a clean way to explain this. Thank you for your help. Subscribed

[@FortBendTutoring]

Thanks 4 the feedback and subscription Fernando! I appreciate both!

[@Alyssa-cn8tb]

Thank you for posting this vid :) I now understand this topic because of you.

[@FortBendTutoring]

+NiAllie My pleasure NiAllie!

[@lastchance8142]

I had to re-learn logarithms to help my daughter in school. Your videos were better than anything I learned way back when. Thanks!

[@FortBendTutoring]

Happy 2 help! I’m praying you have a smooth lesson with your daughter! 👨🏾‍🏫😀

[@tamaraschiff181]

Great video. Finally someone who address the hard problems and makes them easy! I finally understand:)

[@FortBendTutoring]

Awesome Tami! Happy 2 help!

[@kidfrost95]

Wow you made everything so easy to understand and now I get it. Thank you so much.

[@FortBendTutoring]

Happy 2 help! Thanks 4 watching!

[@drakegreenstein9778]

Learned so much more from you than my teacher. Thanks

[@FortBendTutoring]

Wow! Happy 2 hear it helped you Drake!

[@buzzzing983]

WOW! I'm in love with math now! Thank you sooo much for this...I understand waaay better!

[@FortBendTutoring]

Happy 2 help! Thanks 4 watching!

[@fabiomahamud4976]

COOOL!!!! HELPED A LOT!!! KEEP UP THE GOOD WORK!!!!!!!

[@FortBendTutoring]

+Fabio Mahmud Thanks Fabio! We plan on it!

[@andreswart7624]

Thanks for the video. I'm writing test on natural logs tomorrow and this is by far the best video tutorial I've come across. Thank you for the hard work and I'll definitly put the word out and subscribe!

[@FortBendTutoring]

You're welcome and we appreciate you spreading the word!

[@threekay808]

Wow. Extremely helpful. Thank you! :)

[@FortBendTutoring]

Fantastic! Glad it helped!

[@Killer97]

I love the intro :3

[@FortBendTutoring]

+Killer97 Happy 2 hear it! Thanks 4 the feedback!

[@karlb911]

and the outro, I AM LEARNIN MATHIMATICALS :D. Great video, it was really helpful!

[@kadenhahn7670]

excellent explanations and easy to understand

[@RebeccasMakeup]

I wish there were teachers like you!

[@FortBendTutoring]

Thanks Rebecca! Happy 2 help!

[@jemmelgar6578]

thank you so much this will really help me a lot ! :)

[@alexhymel6815]

Thank you! This was better than going to class

[@FortBendTutoring]

+Alex Hymel You're very welcome Alex! Thanks 4 the feedback!

[@mslovelee86]

Great tutorial, thank you so much !! subscribed!

[@FortBendTutoring]

+mslovelee86 You're very welcome! Thanks 4 subscribing!

[@wilbertjimenez9942]

Oh man! You explain it very good. Hopefully, I will approve my test next thursday. Greetings from Mexico!

[@FortBendTutoring]

Greetings 2 you and good luck on your test!

[@Locokillazz]

Just found your videos thanks a lot really helped.

[@rajivpatel7039]

this was awesome. thank you.

[@TheKoolaidman04]

The Best Video by far on how to do these types of problems ive been having so much trouble on how to do this and been having a lot of late night studies but when i saw this video it makes it so much simpler Thank You for the video! Please go on teaching your method is amazing!

[@FortBendTutoring]

You're very welcome TheKoolaidman04! Thanks 4 the feedback!

[@phakamanindlangamandla654]

Wow this was amazing . thank so much

[@minniemouse177]

You have helped me analyse a tricky set of results I have as part of my science PhD. Very clearly explained - thank you!

[@FortBendTutoring]

You're very welcome! Good luck in your academic endeavors!

[@amakhamthembu6872]

After 7 yrs this is still helpful

[@FortBendTutoring]

Happy 2 hear it Amakha! Thanks 4 watching! 👨🏾‍🏫😁

[@aloshk4711]

Thank you once again , your videos are as rocking as ever ;)

[@FortBendTutoring]

+Alosh K Thanks 4 your patronage! I really appreciate it Alosh! :-)

[@emilyy6816]

I loved this! thank you so much

[@FortBendTutoring]

+Emilyy You're very welcome Emilyy! Thanks 4 the support! 😄

[@ttjay87]

AWESOME!, you make learning math so easy!

[@FortBendTutoring]

Thanks! Trying my best!

[@ratdog356]

Thank you so much now I understand logarithmic functions in my ib precalculus class

[@user-yx5uh8lb8d]

Thank you so much, Sir.

[@bonifaceokafor8090]

This is quite a very good video. It is well explained.

[@FortBendTutoring]

Thanks 4 the feedback Boniface!

[@Meetpatel643]

these is going to help me on the test. thank you so much.

[@FortBendTutoring]

Happy 2 help Meet!

[@davidhill8163]

Great tutorial thanks so much

[@yassingurhan6204]

i never understood how the numerator would remain the same while the denominator would somehow get to the other side of the equation on most videos until you explained it at 8:52. no one ever mentioned cross multiplying in situations like these which always stopped me from finishing up certain logarithmic problems. THANK YOU so much i really appreciate it!

[@FortBendTutoring]

+Yassin Gurhan Happy 2 help Yassin! Your feedback is greatly appreciated! Good luck 2 you!

[@yassingurhan6204]

Fort Bend Tutoring btw, for number 7 I got the answer 6 with a different method, I chose to isolate x by moving 2 over to the other side and directly added it to 4. Is this also a good way to answer this question? Because I never really understood why you added 2 to both sides. It seems like things like that are done to skip certain steps I guess but I wasn't 100% sure on that. I hope you could reply soon. :)

[@FortBendTutoring]

+Yassin Gurhan The difference is that I'm using the addition property of equality to isolate the variable and your process is a shortcut. It's you and your teacher's preference, however, my process shows why the move is made and not just the result.

[@ArnoldMejia]

reviewing stuff I should know after years away from Math and jumping back into Calc II and you got me to where I needed to be, you can cross out the log with the same base :D. Thanks for the comment- oh also thasks for the vid ;)

[@123jakestheman]

I have this test tmrrow that will make or break it for me in passing trig and I think this video will be the reason I pass, thank you so much!!

[@25senzi]

The best teacher for math

[@joshuatirado99]

Helped me out a lot thanks !

[@FortBendTutoring]

+joshua tirado Awesome Joshua! Happy 2 help! Thanks 4 watching!

[@qywangg]

thank you so much! It helps a lot!

[@FortBendTutoring]

You're very welcome Qianyi!

[@patrickboydrichardson4270]

Super! This video helps a ton.

[@FortBendTutoring]

Awesome Patrick! Thanks 4 watching!

[@Reformed4good]

I also loved the intro, but the instructions are also stellar! I am very much helped by this. I am an older student who does NOT remember this stuff from 20+ years ago. By the end of this 20+ minute video, I could do the last two in this video (which at the beginning would have been totally impossible) without any help. Definitely "on point". :)

[@FortBendTutoring]

Happy 2 help Susanne! I really appreciate the feedback!

[@MsPerva]

Best explanation, thank you so soooooooo much

[@FortBendTutoring]

Awesome! Glad to help! Thanks for the comment!

[@annabellesigmond4918]

thank you so much! This was so helpful

[@FortBendTutoring]

Happy to hear it helped!

[@peterchongo9822]

cool stuff right there..you had me thinking at your pace from the beginning of the video.with your videos,i think will become a genius.

[@FortBendTutoring]

With a statement like that, I think you're already a genius Peter!

[@slampog]

Your voice is super soothing! Love the videos!!!

[@FortBendTutoring]

That's kind of you 2 say! Thanks 4 watching!

[@aakashkarajgikar3935]

@@FortBendTutoring I agree! I like all of Fort Bend Tutoring videos! I like the way he teaches us math, it is fun.

[@punditgi]

Very nice explanations. Logarithms and exponents are always a bit challenging until you get the hang of them and these videos are a great way to do just that!

[@FortBendTutoring]

Your detailed feedback is very valuable Ezra! Thanks 4 your time! 😁👨🏾‍🏫

[@punditgi]

@@FortBendTutoring very friendly and approachable style of tutoring. Glad that KZbin dug them up for me even though the videos are several years old. Just remember that a classic only gets better with time. Plus, the lady who introduces each one reminds me of a teacher I had years ago in my program of Early Childhood Education. She was the best! Only later did i do a Master's degree in Computer Science, which explains my interest in mathematics. Now at 70 years old i am reviewing so much of it to make sure I don't forget. Your videos are great for doing that. Kudos!

[@scricketball]

thank you. that was so clear

[@FortBendTutoring]

Happy 2 help Scricketball!

[@mikebeezy13]

Amazing video! Thank you so much for the practice...I feel ready for my exam now!

[@FortBendTutoring]

Thanks! Good luck on your exam!

[@danielmohamoud8887]

Fort Bend Tutoring sir pls tell me the program that you are using to solve the Math . thank you in advance :)

[@FortBendTutoring]

Penultimate by Evernote.

[@Hipstoprockathon]

thank you really good vid, i hate math but this made it easier

[@Tanicorn]

i could not say it enough, thank you

[@Pegisus2501]

Excellent Video! Thanks a bunch! :-)

[@FortBendTutoring]

You're very welcome Peggy! Thanks 4 subscribing!

[@smahane5664]

you have no idea how much your video is helpful to students, May God bless you. Ameen

[@FortBendTutoring]

+Positive yes You're right! I pray it helps more people than I can ever imagine! Thanks 4 your kind words and support! They're extremely helpful! :-)

[@smahane5664]

+Fort Bend Tutoring Yes Sir, today I had math test, thanks to your videos, I was able to solve logs equations Yay! :)

[@smahane5664]

+Positive yes done & done lol

[@FortBendTutoring]

+Positive yes Way 2 go! I'm proud of you! :-)

[@sirolsh2]

This is awesome. From Nigeria, I say thanks.

[@FortBendTutoring]

Glad 2 hear it helped! Thanks 4 watching!

[@user-oo1sc5ks5p]

Very helpful video,thank you

[@FortBendTutoring]

+Supermine Christos You're very welcome! Happy 2 help!

[@naroddd04]

THANK YOU SO MUCH

[@usaila6139]

You are such amazing teacher. I like your teaching system thank you for your effort. God bless you.

[@FortBendTutoring]

+USA ILA Thanks 4 the feedback! :-)

[@makaylaaldridge2075]

Thank You this was very helpful

[@FortBendTutoring]

Happy 2 help Makayla!

[@sydenymadenga8882]

i really enjoyed it keep it up

[@FortBendTutoring]

+Sydeny Madenga I'll do my best Sydeny! Thanks 4 watching!

[@brenytakz]

Thank u sir this really helped me

[@keithjackson1042]

Thank you!

[@patankarapurva]

nice examples! definitely going to help in exams!

[@FortBendTutoring]

Glad you liked them Apurva!

[@sayetokpah6846]

Thanks for making me to understand the Natural Logarithms. This has actually been difficult to understand but with this video it helps me understand pretty well. I think i can challenge any Natural Logarithmic equation base on this interesting video. Thanks.

[@FortBendTutoring]

You're very welcome! Thanks 4 your feedback!

[@eunicet.7655]

Very helpful, I squealed when I figured out the answer... thank you :)

[@FortBendTutoring]

+Eunice T. Lol Happy 2 help Eunice!

[@Amba97]

great video!!

[@FortBendTutoring]

Thanks 4 the support Ambs Hart!

[@HelghastSon]

This saved my exam mark. Thanks.

[@FortBendTutoring]

Glad it helped! Thanks 4 the comment!

[@trudywatkins4398]

THANK YOU!!!

[@TheSloper6910]

That was good I am learning how to do logarithms and ln and e so I can do calculus. Thankyou very much;

[@FortBendTutoring]

John Drescher You're very welcome John! Good luck in your future calculus classes!

[@wcmclellan]

I love how smooth you presentations are. May I ask what software you are using and which is you favorite stylus. Too smooth. calming AND math combined, who new this could happen in this universe. I love your videos ..great job!

[@FortBendTutoring]

Thanks 4 the feedback! I use Penultimate by Evernote and I like styli from Adonit.

[@marjanmathilda1475]

thank you so much!

[@conradgarcia4850]

fantastic breakdown. instantly subscribed. couldn't have asked for more except if you can do more math symbols in higher mathematics?

[@FortBendTutoring]

+Conrad Garcia You got it! We're working on more videos now!

[@Hgkbukk]

I knew most of this but your very mesmerizing (can you say that?) to listen to :P

[@FortBendTutoring]

Lol! Thanks!

[@bukwasamantha3527]

thank you sooooooooooooooooooo much your vids are helping me #...subscribed

[@FortBendTutoring]

Thanks 4 subscribing Samantha! I really appreciate it!

[@bluecarrot1234]

Thank you so much! This might help me not fail my math test

[@FortBendTutoring]

We pray it does! Good luck on your test!