Trigonometry Examples

$\log_{4} (\frac{1}{4096})$

Step 1

Rewrite $\log_{4} (\frac{1}{4096})$ as $\log_{4} (1) - \log_{4} (4096)$ .

$\log_{4} (1) - \log_{4} (4096)$

Step 2

Logarithm base $4$ of $1$ is $0$ .

$0 - \log_{4} (4096)$

Step 3

Logarithm base $4$ of $4096$ is $6$ .

$0 - 1 \cdot 6$

Step 4

Multiply $- 1$ by $6$ .

$0 - 6$

Step 5

Subtract $6$ from $0$ .

$- 6$