SOLUTION: Hi, How do you simplify (log(3)8)(log(8)9) I've simplified it so far to (log 8)/(Log 3) = (log 9)/(log 8)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, How do you simplify (log(3)8)(log(8)9) I've simplified it so far to (log 8)/(Log 3) = (log 9)/(log 8)      Log On


   

Question 438347: Hi,
How do you simplify (log(3)8)(log(8)9)
I've simplified it so far to (log 8)/(Log 3) = (log 9)/(log 8)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
+log%283%2C8%29%2Alog%288%2C9%29+
then, applying "change of base" we get:
%28log%288%29%2Flog%283%29%29+%2A+%28log%289%29%2Flog%288%29%29+
notice the log(8) cancels leaving:
log%289%29%2Flog%283%29
or simply:
log%283%2C9%29
log%283%2C3%5E2%29
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