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what is the value of \\(\\log_{4} 16\\)? \\(\\bigcirc\\) 1 \\(\\bigcirc…

Question

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

\\(\bigcirc\\) 1
\\(\bigcirc\\) 2
\\(\bigcirc\\) 4
\\(\bigcirc\\) 8

Explanation:

⚡ Using what you learned: Evaluating Logarithmic Expressions

Step 1: Rewrite in exponential form

$$ \log_{4}(16) = x \implies 4^x = 16 $$

Step 2: Solve for x

$$ 4^2 = 16 \implies x = 2 $$

Answer:

2