# Homework Help: Logarithm exercise

1. Aug 7, 2011

### 0range

1. The problem statement, all variables and given/known data

$$2^{5x}=3^x(5^{x+3})$$

2. Relevant equations

3. The attempt at a solution

$$ln2^{5x}=ln3^x(ln5^{x+3})$$

$$5xln2=xln3(x+3)ln5$$

Here's where I get stuck... I've tried a bunch of different manipulation, but can't seem to isolate x...

2. Aug 7, 2011

### SteamKing

Staff Emeritus
Hint: Remember that log (ab) = log (a) + log (b) Check the RHS of your equation

3. Aug 7, 2011

### 0range

Thanks for the direction! I think I've got it...

It's late and I still suck at LaTeX, is it okay to do this, or is it against etiquette?

Thanks again for your help!

4. Aug 7, 2011

### I like Serena

Welcome to PF, Orange!

It is okay to do that, and you did get it.

Cheers!

5. Aug 7, 2011

Thanks!