llshearer wrote:I'm 33 and this is a college 'easy' math course I'm taking. I'm completely unclear as to how one would go about finding the value for X in an exponent.

4^(2X)=10

Laurie,

First of all, don't be too hard on yourself. Logs aren't "easy" for most people when they study them. Your course may already be over; if so, sorry for rehashing.

There are two schools of thought on using logs to solve equations like this. Some use the definition of a log to rewrite the equation in log form. This first step is usually pretty quick, but then you get stuck with a log your calculator can't perform (at least, in my case. Mine only does log-base-10 and log-base-e.) There's a formula that will help you with that, the change-of-base formula. I'm sure you can find it in the "lessons" section here...

Others take the log of both sides and use some of the "properties of logs" that are probably listed in your textbook to simplify. That's the method used by the last poster, michaelempeigne.

If you're still working on this, maybe you could let us know which method you're more familiar with, and we can nudge you in the right direction. Good luck!