SOLUTION: log8 (32) please help me solve

Question 381648: log8 (32)
please help me solve

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

With expressions like this you want to look to see if

the base is an obvious power of the argument, or
the argument is an obvious power of the base, or
the base and the argument are both obvious powers of some other number.

It is not obvious what power of 8 32 is. Nor is it obvious what power of 32 8 is. But with a little work we can find that 8 and 32 are both powers of 2. So we can simplify this expression "by hand" if we use the base conversion formula, , to convert the base 8 logarithm into an expression of base 2 logarithms:

Since then . Similarly, since then . This makes our expression:
5/3
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