# How do you evaluate #log_6 (1/216)#?

##### 2 Answers

Sep 21, 2016

#### Explanation:

Think of a log term asking a question.

"What index of 10 gives 100?"

"To what power must 10 be raised to equal 100?"

The answer is 2 because

It really is an advantage to know all the powers up to 1000.

Note that

Write the expression slightly differently as

The answer is now obvious..

"What index of 6 will give

"To what power must 6 be raised to equal

Sep 21, 2016

#### Explanation:

If