Precalculus Examples

$- 3 \log_{8} (4 x)$

Step 1

Rewrite $\log_{8} (4 x)$ as $\log_{8} (4) + \log_{8} (x)$ .

$- 3 (\log_{8} (4) + \log_{8} (x))$

Step 2

Logarithm base $8$ of $4$ is $\frac{2}{3}$ .

$- 3 (\frac{2}{3} + \log_{8} (x))$

Step 3

Apply the distributive property.

$- 3 (\frac{2}{3}) - 3 \log_{8} (x)$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{2}{3} - 3 \log_{8} (x)$

Step 4.2

Cancel the common factor.

$3 \cdot - 1 \frac{2}{3} - 3 \log_{8} (x)$

Step 4.3

Rewrite the expression.

$- 1 \cdot 2 - 3 \log_{8} (x)$

Step 5

Multiply $- 1$ by $2$ .

$- 2 - 3 \log_{8} (x)$