SOLUTION: Solve for x in the equation 3^(2x-1)+2*3^(2x+1)=171

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Question 1195398: Solve for x in the equation 3^(2x-1)+2*3^(2x+1)=171
Answer by Alan3354(69443) About Me  (Show Source):
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Solve for x in the equation 3^(2x-1)+2*3^(2x+1)=171
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3^(2x-1)+2*3^(2x+1)=171
3%5E%282x%29%2F3+%2B+2%2A3%2A3%5E%282x%29+=+171
%2819%2F3%29%2A3%5E%282x%29+=+171
%281%2F3%29%2A3%5E2x+=+9
3%5E%282x%29+=+27
2x = 3
x = 1.5