SOLUTION: 6^2(3^x-2)=324, solve for x.

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Question 365429: 6^2(3^x-2)=324, solve for x.
Answer by nerdybill(7384) About Me  (Show Source):
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6^2(3^x-2)=324, solve for x
.
36(3^x-2)=324
(3^x-2)=324/36
3^x-2=9
3^x=11
log(3,3^x) = log(3,11)
x = log(3,11)
change of base:
x = log(11)/log(3)
x = 2.183