Question

what is the value of \\(\log_{4} 16\\)?

Explanation:

Step1: Recall logarithm definition

The logarithm $\log_{b}a = x$ means $b^{x}=a$. For $\log_{4}16$, we need to find $x$ such that $4^{x}=16$.

Step2: Solve for x

We know that $4^{2}=16$ (since $4\times4 = 16$). So by the definition of logarithms, $\log_{4}16 = 2$.

Answer:

2