SOLUTION: can you help me with this exercise, please? solve for x: 3(3^x-1) = 1/27

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Question 354496: can you help me with this exercise, please?
solve for x:
3(3^x-1) = 1/27
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
3%283%5E%28x-1%29%29+=+1%2F27
3%5E%28x-1%2B1%29+=+3%5E-3
3%5Ex+=+3%5E-3
Therefore since the bases are equal so too will the powers. Thus
x+=+-3.