Simplification of Log/Exponent Expression

[moo5003]

1. The problem statement, all variables and given/known data

Simplify the following:

[log_3(2^x) * 3^(2x)]/e^(2lnx)

3. The attempt at a solution

e^(2lnx) = x^2
Log_3(2^x) = xlog_3(2)

Thus:

= 3^(2x)*x*log_3(2) / x^2
= [3^(2x)/x] * log_3(2)

Am I missing anything here? I don't seem to find anyway to continue simplification, although the 3^2x seems like a weird choice if I cannot somehow use log_3(2) with it.

[tiny-tim]

Hi moo5003! :smile:
Am I missing anything here?

Looks fine to me! :smile:

(apart from being difficult to read, that is :rolleyes: … try using the X2 and X2 tags just above the Reply box :wink:)