Precalculus Examples

$2 \log_{b} (q) + 3 \log_{b} (y)$

Step 1

Simplify each term.

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Step 1.1

Simplify $2 \log_{b} (q)$ by moving $2$ inside the logarithm.

$\log_{b} (q^{2}) + 3 \log_{b} (y)$

Step 1.2

Simplify $3 \log_{b} (y)$ by moving $3$ inside the logarithm.

$\log_{b} (q^{2}) + \log_{b} (y^{3})$

Step 2

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

$\log_{b} (q^{2} y^{3})$