Precalculus Examples

$\log_{x} (9 y z)$

Step 1

Rewrite $\log_{x} (9 y z)$ as $\log_{x} (9 y) + \log_{x} (z)$ .

$\log_{x} (9 y) + \log_{x} (z)$

Step 2

Rewrite $\log_{x} (9 y)$ as $\log_{x} (9) + \log_{x} (y)$ .

$\log_{x} (9) + \log_{x} (y) + \log_{x} (z)$

Step 3

Simplify each term.

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Step 3.1

Rewrite $\log_{x} (9)$ as $\log_{x} (3^{2})$ .

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

Step 3.2

Expand $\log_{x} (3^{2})$ by moving $2$ outside the logarithm.

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