Precalculus Examples

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

Step 1

Simplify each term.

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Step 1.1

Simplify $3 \log_{x} (4)$ by moving $3$ inside the logarithm.

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

Step 1.2

Raise $4$ to the power of $3$ .

$\log_{x} (64) + \log_{x} (2)$

Step 2

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

$\log_{x} (64 \cdot 2)$

Step 3

Multiply $64$ by $2$ .

$\log_{x} (128)$