SOLUTION: How do you relate the bases in the following?: log5x=log(square root 5)6 Thank you!

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Question 868275: How do you relate the bases in the following?:
log5x=log(square root 5)6
Thank you!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What are the bases?
Do you want to "relate the bases," or solve for x?
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If you mean
log%285%2Cx%29+=+log%28sqrt%285%29%2C6%29
log%28x%29%2Flog%285%29+=+log%286%29%2Flog%28sqrt%285%29%29
log%28x%29%2Flog%285%29+=+log%286%29%2F%28log%285%29%2F2%29
log%28x%29%2Flog%285%29+=+2log%286%29%2Flog%285%29
log(x) = 2log(6) = log(36)
x = 36
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That's the "long way" using the base change formula