SOLUTION: Evaluate logarithms: log[8](1/8) log[8](8)

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Question 422589: Evaluate logarithms:
log[8](1/8)
log[8](8)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
These problems are easy if you understand what logarithms are and have a basic understanding of exponents.

Logarithms are exponents. The expression:
log%28a%2C+%28b%29%29
represents the exponent for a that results in b. In other words, it represents the power of a that results in b.

So
log%288%2C+%281%2F8%29%29
represents the power of 8 that results in 1/8. So what power of 8 is 1/8? Answer: -1. (If this is not clear to you, then review what an exponent of -1 means.) So
log%288%2C+%281%2F8%29%29+=+-1

Your second expression
log%288%2C+%288%29%29
is even easier. What power of 8 is 8? Answer: 1! So
log%288%2C+%288%29%29+=+1