Precalculus Examples

$7 \log (x) + 2 \log (y)$

Step 1

Simplify each term.

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Step 1.1

Simplify $7 \log (x)$ by moving $7$ inside the logarithm.

$\log (x^{7}) + 2 \log (y)$

Step 1.2

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

$\log (x^{7}) + \log (y^{2})$

Step 2

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

$\log (x^{7} y^{2})$