SOLUTION: Solve 2/3^2x = 12.

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Question 39444: Solve 2/3^2x = 12.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
It is not clear exactly what the problem is but I assume you mean
2 / (3^2x) = 12
I will show you this one...if you meant something else, please repost...
Okay, from
2 / (3^2x) = 12
we can rearrange the terms and get
3^2x = 2/12 = 1/6
take the log of both sides
log 3^2x = log 1/6
now use the power rule
2x log 3 = - log 6
and
x = (- log 6) / (2 log 3)