# How do you use the properties of logarithms to expand #log_8 (x^4)#?

##### 2 Answers

Jun 25, 2017

#### Explanation:

To expand this logarithm, the first thing we can do is change the

The argument is, which in this case is *third property of logarithims*, which states

Using that property, we get

Jun 25, 2017

#### Explanation:

#"using the "color(blue)"law of logarithms"#

#• logx^nhArrnlogx#

#rArrlog_8x^4=4log_8x#