SOLUTION: prove that log64 to base 3 divided by log8 to base 9 = 4

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Question 466289: prove that log64 to base 3 divided by log8 to base 9 = 4
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
prove that
log%283%2C64%29%2Flog%289%2C8%29+=+4
You can do this with a calculator:
log%283%2C64%29+=+log%2864%29%2Flog%283%29 etc
or recognize that 9 = 3^2 and log%289%2C8%29+=+log%283%2Csqrt%288%29%29
and log%2864%29%2Flog%28sqrt%288%29%29+=+4 since 64+=+%28sqrt%288%29%29%5E4