SOLUTION: Hi What is the answer please use logarithms to solve for x 2^x3^2x = 6

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Question 769436: Hi
What is the answer please
use logarithms to solve for x
2^x3^2x = 6
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex3%5E%282x%29=6-->log%282%5Ex%29%2Blog%283%5E%282x%29%29=log%286%29-->x%2Alog%282%29%2B2x%2Alog%283%29=log%286%29-->x%28log%282%29%2B2log%283%29%29=log%286%29-->x=log%286%29%2F%28log%282%29%2B2log%283%29%29
That could also be written as
x=log%286%29%2F%28log%282%29%2Blog%283%5E2%29%29-->x=log%286%29%2F%28log%282%29%2Blog%289%29%29--->x=log%286%29%2Flog%282%2A9%29-->x=log%286%29%2Flog%2818%29

With less logs,
3%5E%282x%29=%283%5E2%29%5Ex=9%5Ex, so
2%5Ex3%5E%282x%29=2%5Ex9%5Ex=%282%2A9%29%5Ex=18%5Ex
and if 18%5Ex=6 --> log%2818%5Ex%29=log%286%29 --> x%2Alog%2818%29=log%286%29 --> x=log%286%29%2Flog%2818%29