Solve 2^(5x)=3^x(5^(x+3)) Logarithm Exercise

[0range]

Homework Statement

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

Homework Equations

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...

Thanks in advance!

 

[SteamKing]

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

 

[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!

 

[I like Serena]

Welcome to PF, Orange!

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!

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

Cheers!

 

[0range]

Thanks!