SOLUTION: find the value of of x: 9^2x-1=36^x

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Question 1099827: find the value of of x:
9^2x-1=36^x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
9%5E%282x-1%29=%289%2A4%29%5Ex
9%5E%282x-1%29=%289%5Ex%29%284%5Ex%29
9%5E%282x-1-x%29=4%5Ex
9%5E%28x-1%29=4%5Ex
Take the ln of both sides,
%28x-1%29%2Aln%289%29=x%2Aln%284%29
x%2Aln%289%29-ln%289%29=x%2Aln%284%29
x%2A%28ln%289%29-ln%284%29%29=ln%289%29
x=ln%289%29%2F%28ln%289%29-ln%284%29%29
x=ln%283%5E2%29%2F%28ln%283%5E2%29-ln%282%5E2%29%29
highlight%28x=ln%283%29%2F%28ln%283%29-ln%282%29%29%29