trig
posted by Peter on .
Solve for X. Leave answers in logarithmic forms.
3^(2x) = 2^x
Thanks.

take the logs of both sides
log (3^(2x)) = log (2^x)
(2x)log3 = xlog2
2log3  xlog3 = xlog2
2log3 = xlog2 + xlog3
2log3 = x(log2 + log3)
x = 2log3/(log2 + log3)
or x = 2log3/log6 
Ok, I'm kind of confused.
A log's base typically 10 right? Why would you write log 3^(2x)? Shouldn't it be log(sub3) 2x) ?