Question

Which of the following expressions is equivalent to the logarithmic expression below? log4 7/x^3

Answer 1

D

Explanation:

using the rules of logarithms

• log a - log b = log (
`(a)/(b)` )

• log
`x^(n)` = nlog x

then

`log_(4)`
`(7)/(x^3)`

=
`log_(4)` 7 -
`log_(4)` x³

=
`log_(4)` 7 - 3
`log_(4)` x