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!
Looks fine to me!

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