Trigonometry Examples

$\frac{1}{2} \cdot \log (m) - 3 \log (n)$

Step 1

Simplify each term.

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Step 1.1

Simplify $\frac{1}{2} \log (m)$ by moving $\frac{1}{2}$ inside the logarithm.

$\log (m^{\frac{1}{2}}) - 3 \log (n)$

Step 1.2

Simplify $- 3 \log (n)$ by moving $3$ inside the logarithm.

$\log (m^{\frac{1}{2}}) - \log (n^{3})$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{m^{\frac{1}{2}}}{n^{3}})$