Solve this problem algebraically?

My oldest boy, now entering college, has asked me a math question. Now, I'm normally good at math, but once you get into logs and natural logs and sines and tangents and all that hard stuff, I'm lost. I don't even know exactly what the equation means.



Here's from his email to me:

Quote:

Can you tell me how, or at least how to find out how, to solve the following algebraically? log base 6 of (x+3) = log base 5 of (x+2) None of my math or science teachers can do it. They have tried everything they can think of, so have as of now.

I assume it means the base six log of (x+3) is equal to the base 5 log of (x+2), solve for X - but I don't even remember what a logarithm is in mathematics, so a little help would be good.



Thanks!