SOLUTION: the value of "X" For 3^(2x-2) = Cube root (2) ?

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Question 1045466: the value of "X" For 3^(2x-2) = Cube root (2) ?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
"x", not "X".

3%5E%282x-2%29=root%283%2C2%29
log%28%283%5E%282x-2%29%29%29=log%28%282%5E%281%2F3%29%29%29
%282x-2%29%2Alog%28%283%29%29=%281%2F3%29%2Alog%28%282%29%29
%28x-1%29%2Alog%28%283%29%29=%281%2F6%29%2Alog%28%282%29%29
%28x-1%29=%28%281%2F6%29%2Alog%28%282%29%29%29%2Flog%28%283%29%29
x=1%2B%28%281%2F6%29%2Alog%28%282%29%29%2Flog%28%283%29%29%29

Not really finished. You decide if you need a result combined as a single rational expression or not; you choose which base of the logarithm you want. Typically Natural Log, or Common Log.

Answer by MathLover1(20849) About Me  (Show Source):