# How do you simplify #log_20 (8000^x)#?

##### 1 Answer

Sep 11, 2016

#### Explanation:

Recall:

The " **power law** " of logs states:

The " **change of base law** " states

(

Apply these two laws to the question:

=

=

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However, using another approach - the maths is beautiful, and we do not even need a calculator this time!

Note that

=

=