QUESTION IMAGE
Question
evaluate \\(\log_{12} y^2\\), given \\(\log_{12} y = 16\\).
\\(\bigcirc\\) 4
\\(\bigcirc\\) 32
\\(\bigcirc\\) 256
\\(\bigcirc\\) 65,536
⚡ Using what you learned: properties of logarithms
Step 1: Apply the Power Property of Logarithms
$$
\log_{12} y^2 = 2 \log_{12} y
$$
Step 2: Substitute the Given Value
Given that \(\log_{12} y = 16\):
$$
2 \log_{12} y = 2(16) = 32
$$
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