SOLUTION: Evaluate: log (subscript 8)(1/16) Thanks.

Question 201587: Evaluate: log (subscript 8)(1/16) Thanks.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Use the change of base formula

Note: Remember the change of base formula is

Rewrite as

Rewrite as

Pull down the first exponent using the identity

Pull down the second exponent using the identity

Highlight the common terms.

Cancel out the common terms.

Simplify

So
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