Precalculus Examples

$\log_{4} (16) + \log_{4} (3 x + 2 y)$

Step 1

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

$\log_{4} (16 (3 x + 2 y))$

Step 2

Apply the distributive property.

$\log_{4} (16 (3 x) + 16 (2 y))$

Step 3

Multiply.

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Step 3.1

Multiply $3$ by $16$ .

$\log_{4} (48 x + 16 (2 y))$

Step 3.2

Multiply $2$ by $16$ .

$\log_{4} (48 x + 32 y)$