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

Answer:

Option (a) is correct.

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

Step-by-step 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.