Precalculus Examples

$\log_{3} (\sin (x)) - \log_{3} (\cos (x))$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{3} (\frac{\sin (x)}{\cos (x)})$

Step 2

Convert from $\frac{\sin (x)}{\cos (x)}$ to $\tan (x)$ .

$\log_{3} (\tan (x))$