Trigonometry Examples

$\log_{4} (\sqrt[4]{4})$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{4}$ as $4^{\frac{1}{4}}$ .

$\log_{4} (4^{\frac{1}{4}})$

Step 2

Expand $\log_{4} (4^{\frac{1}{4}})$ by moving $\frac{1}{4}$ outside the logarithm.

$\frac{1}{4} \log_{4} (4)$

Step 3

Logarithm base $4$ of $4$ is $1$ .

$\frac{1}{4} \cdot 1$

Step 4

Multiply $\frac{1}{4}$ by $1$ .

$\frac{1}{4}$