SOLUTION: Given that 8^x-1/3^2x = 2^3x+1/54^x , evaluate 6^x .

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Question 445911: Given that 8^x-1/3^2x = 2^3x+1/54^x , evaluate 6^x .
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
=>-3%5E%28-2x%29=3%5E%28-3x%29%2F2%5Ex
Dividing both sides by:-3%5E%28-2x%29, we get:1=-3%5E%28-3x%29%2F%282%5Ex%2A3%5E%28-2x%29%29=>
1=-3%5E%28-x%29%2F2%5Ex=>1=-1%2F%283%2A2%29%5Ex=>1=-1%2F6%5Ex=>6%5Ex=-1.