SOLUTION: What is the solution for the exponential equation 9^-x=(1/3)

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Question 1007709: What is the solution for the exponential equation 9^-x=(1/3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9%5E%28-x%29+=+1%2F3


9%5E%28-x%29+=+3%5E%28-1%29 Rewrite the right side


%283%5E2%29%5E%28-x%29+=+3%5E%28-1%29 Change 9 to 3%5E2


3%5E%28-2x%29+=+3%5E%28-1%29 Use the third rule


-2x+=+-1 The bases are equal, so the exponents must be equal.


-2x%2F%28-2%29+=+-1%2F%28-2%29


x+=+1%2F2