Expand log of (a*b)^2

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Algebra

$\log ({(a \cdot b)}^{2})$

Expand $\log ({(a \cdot b)}^{2})$ by moving $2$ outside the logarithm.

$2 \log (a \cdot b)$

Rewrite $\log (a \cdot b)$ as $\log (a) + \log (b)$ .

$2 (\log (a) + \log (b))$

Apply the distributive property.

$2 \log (a) + 2 \log (b)$

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