Expand log of 1/4 - MathMaster

$\log (\frac{1}{4})$

Rewrite $\log (\frac{1}{4})$ as $\log (1) - \log (4)$ .

$\log (1) - \log (4)$

Logarithm base $10$ of $1$ is $0$ .

$0 - \log (4)$

Subtract $\log (4)$ from $0$ .

$- \log (4)$

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

$- \log (2^{2})$

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

$- (2 \log (2))$

Multiply $2$ by $- 1$ .

$- 2 \log (2)$

Expand log of 1/4

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