Trigonometry Examples

$\log (4 m^{2})$

Step 1

Rewrite $\log (4 m^{2})$ as $\log (4) + \log (m^{2})$ .

$\log (4) + \log (m^{2})$

Step 2

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

$\log (4) + 2 \log (m)$

Step 3

Simplify each term.

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Step 3.1

Rewrite $\log (4)$ as $\log (2^{2})$ .

$\log (2^{2}) + 2 \log (m)$

Step 3.2

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

$2 \log (2) + 2 \log (m)$