Question 40801
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]*[log(base3)5]*[log(base5)8]

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.