logarithims question, any help appreaciated

I am stuck with a logarithims problem that i just can't seem to solve.

The problem is,

Determine x in

10 to power 2x = 5e to power 2x + 2

The two different bases are confusing me, can any one offer any suggestions on how to go about solving this? am i missing something obvious?

Any help would be appreaciated

It works but i am still a bit confused

Many thanks for the reply but i must admit i'm a bit confused with the line

http://www.mathhelpforum.com/math-he...e0bd017a-1.gif

why is the 2x + 2 added to ln(5)

Sorry if this is a stupid question,

i have only just started up a maths course after 10 years away from education.