Precalculus Examples

$14 \log (m) + \frac{2}{5} \cdot \log (n)$

Step 1

Simplify each term.

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Step 1.1

Simplify $14 \log (m)$ by moving $14$ inside the logarithm.

$\log (m^{14}) + \frac{2}{5} \cdot \log (n)$

Step 1.2

Simplify $\frac{2}{5} \log (n)$ by moving $\frac{2}{5}$ inside the logarithm.

$\log (m^{14}) + \log (n^{\frac{2}{5}})$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (m^{14} n^{\frac{2}{5}})$