Precalculus Examples

$\log_{3} (\frac{27 x}{x + 1})$

Step 1

Rewrite $\log_{3} (\frac{27 x}{x + 1})$ as $\log_{3} (27 x) - \log_{3} (x + 1)$ .

$\log_{3} (27 x) - \log_{3} (x + 1)$

Step 2

Rewrite $\log_{3} (27 x)$ as $\log_{3} (27) + \log_{3} (x)$ .

$\log_{3} (27) + \log_{3} (x) - \log_{3} (x + 1)$

Step 3

Logarithm base $3$ of $27$ is $3$ .

$3 + \log_{3} (x) - \log_{3} (x + 1)$