Algebra Examples

$4 \cdot \log_{4} (a) + 2 \cdot \log_{4} (b)$

Step 1

Simplify each term.

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Step 1.1

Simplify $4 \log_{4} (a)$ by moving $4$ inside the logarithm.

$\log_{4} (a^{4}) + 2 \cdot \log_{4} (b)$

Step 1.2

Simplify $2 \log_{4} (b)$ by moving $2$ inside the logarithm.

$\log_{4} (a^{4}) + \log_{4} (b^{2})$

Step 2

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

$\log_{4} (a^{4} b^{2})$