SOLUTION: 27^x+1=3^2x+1

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Question 324547: 27^x+1=3^2x+1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
27%5E%28x%2B1%29+=+3%5E%282x%2B1%29 Substitute 27+=+3%5E3
%283%5E3%29%5E%28x%2B1%29+=+3%5E%282x%2B1%29 Simplify the left side.
3%5E%283x%2B3%29+=+3%5E%282x%2B1%29 The bases are equal so the exponents are equal.
3x%2B3+=+2x%2B1 Subtract 2x from both sides.
x%2B3+=+1 Subtract 3 from both sides.
highlight%28x+=+-2%29