Solving Logarithmic Equations

This algebra video tutorial explains how to solve logarithmic equations with logs on both sides. It explains how to convert from logarithmic form to exponential form using basic properties of logarithms. This video include examples and practice problems with natural logarithms as well.

Full-Length Math & Science Videos:

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Logarithms - The Easy Way!

Log to Exponential Form:

Change of Base Formula:

Change of Base Log Problem:

Properties of Logarithms:

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Expanding Logarithmic Expressions:

Condensing Logarithmic Expressions:

Natural Logarithms:

Solving Exponential Equations:

Exponential Equations - Quadratic Form:

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Solving Logarithmic Equations:

Graphing Logarithmic Functions:

Graphing Exponential Functions:

Compound Interest Word Problems:

Logarithms Practice Problems:

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Final Exams and Video Playlists:

Logarithmic Formula Sheet:

[kay]

Didn't even realize it was half an hour- all I know is I officially understand how to do these equations. Bless this man

[butterandbreadsticks]

My finals for math are tmrw and from what I've heard 90% of it is on logs. I've been struggling with logs for the past 2 months and this video literally taught me more than 2 months of math. Thank you good sir and keep doing what you're doing.

[cotarddelusionz]

“Let’s try one more example”
*see there’s still 25 mins left* 🤨

[dee_b_ee]

I just learned in 25 minutes what I have been struggling with for 2 years

[Jay_Script]

you sir are saving me so much on my next algebra two test, you are my favorite tutor

[justhaughton]

I am currently a rising 3rd year at UCLA studying psychobio. I remember struggling on 'logs' through middle/high school, and even in college. Currently taking a physics class and wanted to finally master logs. It took me over 1/2 a decade for this to be well explained. God bless you sir.

[markg]

Where were you 2 hours ago when I was trying to help my daughter. You sir are a rock star! Thank you for the great tutorial

[JoseGonzalez-rtfk]

In the first five minutes you taught me about 1 week worth of what they try to teach me at school.

[sydneys.]

i missed a week of school and was never taught how to do logarithms. i was required to take a test over them 2 days after i got back. this video is the only reason i passed. your voice is so calm and you explained everything in a way that i was able to understand. thank you so much!!

[williamorpheus]

my man just single-handedly helps millions of student. God bless you Sir

[atharvdusad]

man u are the best . i dont know where i wouldve have been if it werent of u
long live organic chemistry tutor

[ruthgebreyes]

I HONESTLY CAN'T THANK YOU ENOUGH !!!!
I've been watching all your videos and I have been practicing so much that I am passing my exams. I don't need to pay for a private tutor and I thank you for that.
All Love From Canada xoxox

[spencerstephan]

Literally learn more from you in about 30 minutes than I do in 2 weeks of my class!

[salimismail]

Haven't even reached a minute and already blown away by how much you've taught me in a minute VS. 3 weeks of my teacher.

[herald]

Stop reading the comments, keep watching the video, you need to pass your test.

[georgesadler]

MR. Organic Chemistry Tutor, thank you for Solving and explaining Logarithmic Equations to precalculus students worldwide. These videos are improving students grades and confidence every day.

[hannahe.]

omg... i’m preparing last minute for my test tmr and i didn’t know i could learn a weeks worth of material in half an hour... bless ur soul !!

[petitlutin]

you've taught my old self things that I struggled with in school 30 years ago. You're a hero. Thank you so much.

[zack]

Your voice is so calm it made me fall asleep 3 times

[melissavargas]

I'm overwhelmed by the 10 examples I've done by the time he gets to 7 minutes