SOLUTION: how do you solve 1/27= 9^x

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Question 514804: how do you solve 1/27= 9^x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1/27= 9^x

3^(-3) = (3^2)^x

3^(-3) = 3^(2x)

-3 = 2x ... Note: since the bases are equal, the exponents are equal

-3/2 = x

x = - 3/2