Question

Which expression is equivalent to log3(x 4)?

Answer 1

㏒3(x 4)=㏒3(x)+㏒3 (4)

Answer 2

`log_(m)(x^(4))` =
`4\ log_(3) (x)`.

Explanation:

Given:
`log_(3)(x^(4))`.

To find : Which expression is equivalent.

Solution : We have given that
`log_(3)(x^(4))`.

By the logarithm rule
`log_(b)(m^(n))` =
`n\ log_(b) (m)`

Here, b =3 , m = x, n =4.

Plugging the values in formula

`log_(m)(x^(4))` =
`4\ log_(3) (x)`.

Therefore,
`log_(m)(x^(4))` =
`4\ log_(3) (x)`.