Question

Simplify the following expression.

log(9x^5)+ 5 log(1/x)
A. log 45x4
B. log 94
C. log 45
D. log 9

Answer 1

D. log(9)

Explanation:

`log(9x^(5))+5log((1)/(x))`

Remember:
`A log (x) = log(x^(A))`

`log(9x^(5))+log(((1)/(x))^(5))`

Remember:
`log_(a) (x)+log_(a)(y)=log_(a)(xy)`

`log(9((1)/(x))^(5)x^(5))`

Simplify...

`log(9)`

Hope this helps! If you need steps for simplifying, just ask! :]