Precalculus Examples

$3 \log (m) + 2 \log (n) + \log (p)$

Step 1

Simplify each term.

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Step 1.1

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

$\log (m^{3}) + 2 \log (n) + \log (p)$

Step 1.2

Simplify $2 \log (n)$ by moving $2$ inside the logarithm.

$\log (m^{3}) + \log (n^{2}) + \log (p)$

Step 2

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

$\log (m^{3} n^{2}) + \log (p)$

Step 3

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

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