Thread: Logarithmic Help Please

I have a few problems I am having difficulty with if someone wouldn't mind helping me please. I am a little confused on how to show these types of problems. I can do a few but these ones are getting to me.
thank you!!

First problem:

Write in logarithmic from

square root sign only over the #36 then = 6

Second Problem:

simplify expression:

In e^5x

third problem:

solve equation:
3^x-2=81

& the fourth is the same to solve the equation:

log x= 1 over2
25

1.


2.

Hello, kbryant05!

3) Solve:

With exponential equations, try to get the same base on both sides.

Since , we have:

The bases are equal, so the exponents are equal: .

Therefore: .

4) Solve:

You should know how to rewrite this in exponential form: .

Therefore: .