SOLUTION: I need help solving: log(3x-2)^4=12

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Question 198661: I need help solving:
log(3x-2)^4=12
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I need help solving:
log%28%283x-2%29%5E4%29+=+12
log equiv of exponents
4%2Alog%28%283x-2%29%29+=+12
Divide both sides by 4
log%28%283x-2%29%29+=+12%2F4
log%28%283x-2%29%29+=+3
which is
%283x-2%29+=+10%5E3
3x - 2 = 1000
3x = 1000 + 2
3x = 1002
x = 1002%2F3
x = 334
:
:
Check solution on a calc; enter: log((3(334)-2)^4) = 12