# How do you condense #log_10 x - 4log_10 y#?

##### 1 Answer

Apr 16, 2018

#### Explanation:

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

#•color(white)(x)logx^nhArrnlogx#

#rArr4log_(10)y=log_(10)y^4#

#•color(white)(x)logx-logyhArrlog(x/y)#

#rArrlog_(10)x-log_(10)y^4=log_(10)(x/y^4)#