SOLUTION: evaluate. {{{(log (1/9,27) - log (8,32))/(log (4,64) - log (100))}}}

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Question 1126528: evaluate.
%28log+%281%2F9%2C27%29+-+log+%288%2C32%29%29%2F%28log+%284%2C64%29+-+log+%28100%29%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28log+%281%2F9%2C27%29+-+log+%288%2C32%29%29%2F%28log+%284%2C64%29+-+log+%28100%29%29
------------
log+%281%2F9%2C27%29+=+log%2827%29%2Flog%281%2F9%29+=+-1.5
log%288%2C32%29+=+log%2832%29%2Flog%288%29+=+5%2F3
-----------
Assuming the log(100) is base 10:
%28log%281%2F9%2C27%29+-+log+%288%2C32%29%29/(log(4,64) - log(100)) = (-3/2 - 5/3}/(3-2)
= -19/6