Question

d) $4^2 = 16LXB0circ$ $log_{2}(16) = 4LXB1circ$ none of the above

Explanation:

Step1: Recall log-exponential conversion

For $b^y = x$, $\log_b(x) = y$

Step2: Match given equation to formula

Given $4^2 = 16$, here $b=4$, $y=2$, $x=16$. So $\log_4(16) = 2$.

Step3: Verify other options

$\log_2(16)=4$ corresponds to $2^4=16$, not the given equation. $\log_4(2)=16$ is false, as $4^{16}
eq 2$.

Answer:

$\log_4(16) = 2$