SOLUTION: Help???? Find the exact solution to the equation 3^(x+5)=9^x.

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Question 50016: Help????
Find the exact solution to the equation 3^(x+5)=9^x.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
3%5E%28%28x%2B5%29%29+=+9%5Ex Take the logarithm of both sides.
Log%283%5E%28x%2B5%29%29+=+Log%289%5Ex%29Apply the Power Rule for logarithms: Log%28M%5Ep%29+=+pLog%28M%29
%28x%2B5%29Log%283%29+=+xLog%289%29 Divide both sides by Log%283%29
%28x%2B5%29+=+x%28Log%289%29%2FLog%283%29%29 Evaluate the logarithms. Log%289%29%2FLog%283%29+=+2
%28x%2B5%29+=+2x Subtract x from both sides.
5+=+x or x+=+5
Check:
3%5E%285%2B5%29+=+9%5E5
3%5E10+=+9%5E5
59049+=+59049