SOLUTION: What is the value of the product (log2^3)(log3^5)(log5^8)? (Solve algebraically)

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Question 40801: What is the value of the product (log2^3)(log3^5)(log5^8)?
(Solve algebraically)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the value of the product (log2^3)(log3^5)(log5^8)?
(Solve algebraically)
You can't do this algebraically the way you have posted it.
I believe your problem reads as follows:
[log(base2)3]
Using the Log Rule which says log(base a)b = (logb)/(loga)
you get:
log3/log2*log5/log3*log8/log5
There is some canceling you can do with the following result:
lo8/log2= log(base2)8 = 3
So the final result is "3"
Cheers,
Stan H.