Precalculus Examples

$\log_{3} (759)$

Step 1

Rewrite $\log_{3} (759)$ as $\log_{3} (3 \cdot 11 \cdot 23)$ .

$\log_{3} (3 \cdot 11 \cdot 23)$

Step 2

Rewrite $\log_{3} (3 \cdot 11 \cdot 23)$ as $\log_{3} (3 \cdot 11) + \log_{3} (23)$ .

$\log_{3} (3 \cdot 11) + \log_{3} (23)$

Step 3

Simplify each term.

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Step 3.1

Rewrite $\log_{3} (3 \cdot 11)$ as $\log_{3} (3) + \log_{3} (11)$ .

$\log_{3} (3) + \log_{3} (11) + \log_{3} (23)$

Step 3.2

Logarithm base $3$ of $3$ is $1$ .

$1 + \log_{3} (11) + \log_{3} (23)$