+360 What is the exact solution to the equation 
Please and thank you! 0^>
+128474 Yep....a little tough!!!.....the idea is to isolate x
2^(2x) = 5^(x - 1) take the log of both sides
log 2^(2x) = log 5^(x - 1) using a log property, we have
2x* log 2 = (x - 1) log 5 simplify
(2log 2) * x = xlog 5 - log 5 rearrange as
log 5 = x log 5 - (2log2) x factor out x on the right
log 5 = x [ log 5 - 2log2 ] divide both sides by [ log 5 - 2log 2]
log 5
___________ = x {second answer }
log 5 - 2 log 2
Note Phoenix that I used log instead of Ln.....just substitute.....the answers will be the same, numerically !!!!!!
+360 Thank you very much for explaining this difficult one for me. Substitution is much easier to work with.
