Solving Log Equations by Rewriting in Exponential Form

Learn how to exponentiate to solve logarithmic equations in this free math video tutorial by Mario's Math Tutoring.

0:11 Example 1 log(base 3)(2x) = 2
0:23 Explanation of Exponentiation and How it Works
0:59 Example 2 (-1/2)log(base 4)(3x) = -2
2:09 Example 3 log(base 5)(x-7) = 3
2:39 Example 4 2ln(x) + 5 = 15
2:42 Explanation of natural log
3:29 Example 5 log(base6)(x-2)+log(base 6)(x+2)=2
3:40 How to Condense Logs when Logs are Added
5:00 How to Check for Extraneous Roots with Log Equations
5:36 Example 6 log(base 4)(x+1) - log(base 4)(x-3) = -3
5:46 How to Condense when Logs are Subtracted

Related Videos:

Logs Everything You Need to Know

Expanding & Condensing Logs

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[herbcruz]

For the last problem, shouldn't there be no solution, because -(67/63) is an extraneous root, when you plug that possible solution back into the original equation?

[Paul-obhy]

hey i just come across your channel and wondered if you would be able to attempt this integral

x
∫———————dx
1-x^4


i’m only 14 but i tried it and got atan(x^2)
please let me know what you get if you attempt this