Question

Question 1 of 10

Which of these expressions is equivalent to log (9^2)?
A. 2. log (9)
B. log (2) + log (9)
O C. log (2) • log (9)
D. log (2) - log (9)

Answer 1

`log(9^2) = 2\ log(9)`

Explanation:

Given

`log(9^2)`

Required

Select an equivalent expression

To answer this, we apply the following law of logarithm.

`log(a^b) = b\ log(a)`

So:

`log(9^2) = 2 * log(9)`

`log(9^2) = 2\ log(9)`

Hence:

The equivalent expression is (a).
`2\ log(9)`