Question

Evaluate log3 9 for me please

Answer choices:
2
3
0.33
0.5

Answer 1

the answer is letter choice A.

2

Answer 2

Option (a) is correct.

`\log _3\left(9\right)=2`

Explanation:

Given:
`\log_39`

We have to evaluate
`\log_39` and choose the correct from the given options.

Consider the given
`\log_39`

Rewrite 9 as power of 3 as
`9=3^2`

`\log_39=\log _3\left(3^2\right)`

Apply log rule,
`\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)`

`\log_3(3^2)=2\log _3\left(3\right)`

Apply log rule,
`\log _a\left(a\right)=1`

`\log _3\left(3\right)=1`

Thus,
`2\log _3\left(3\right)=2`

Thus,
`\log _3\left(9\right)=2`

Thus, option (a) is correct.