SOLUTION: Evaluate each logarithm. key: () means that number is the base.. thanks log(9)1/3 log(1/4)16 log(8)1/256

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Question 191346: Evaluate each logarithm. key: () means that number is the base.. thanks
log(9)1/3
log(1/4)16
log(8)1/256
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

... Start with the given expression.

... Use the change of base formula

... Rewrite each term as an exponential expression with a base of 3

... Pull down the exponents.

... Cancel out the common terms.

So

... Start with the given expression.

... Use the change of base formula

... Rewrite each term as an exponential expression with a base of 4

... Pull down the exponents.

... Cancel out the common terms.

... Reduce

So

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Edit: Here's the last solution:

# 3

... Start with the given expression.

... Use the change of base formula

... Rewrite each term as an exponential expression with a base of 2

... Pull down the exponents.

... Cancel out the common terms.

So