Algebra Examples

$5 \log_{b} (q) + 2 \log_{b} (y)$

Step 1

Simplify each term.

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Step 1.1

Simplify $5 \log_{b} (q)$ by moving $5$ inside the logarithm.

$\log_{b} (q^{5}) + 2 \log_{b} (y)$

Step 1.2

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

$\log_{b} (q^{5}) + \log_{b} (y^{2})$

Step 2

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

$\log_{b} (q^{5} y^{2})$