SOLUTION: 6^x=216. i know the answer is three but how do you find that algebraically?

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Question 71156: 6^x=216. i know the answer is three but how do you find that algebraically?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
6%5Ex+=+216 Take the logarithm of both sides.
Log%286%5Ex%29+=+Log%28216%29 Simplify the left side.
xLog%286%29+=+Log%28216%29 Divide both sides by Log(6)
x+=+%28Log%28216%29%29%2FLog%286%29 Evaluate using your calculator or log tables.
x+=+3