Precalculus Examples

$\log_{3} (10 (z))$

Step 1

Rewrite $\log_{3} (10 (z))$ as $\log_{3} (10) + \log_{3} (z)$ .

$\log_{3} (10) + \log_{3} (z)$

Step 2

Simplify each term.

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Step 2.1

Rewrite $\log_{3} (10)$ as $\log_{3} (2 (5))$ .

$\log_{3} (2 (5)) + \log_{3} (z)$

Step 2.2

Rewrite $\log_{3} (2 (5))$ as $\log_{3} (2) + \log_{3} (5)$ .

$\log_{3} (2) + \log_{3} (5) + \log_{3} (z)$