Trigonometry Examples

$\log_{\frac{1}{4}} (\frac{1}{64}) = 3$

Step 1

For logarithmic equations, $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ such that $x > 0$ , $b > 0$ , and $b \neq 1$ . In this case, $b = \frac{1}{4}$ , $x = \frac{1}{64}$ , and $y = 3$ .

$b = \frac{1}{4}$

$x = \frac{1}{64}$

$y = 3$

Step 2

Substitute the values of $b$ , $x$ , and $y$ into the equation $b^{y} = x$ .

${(\frac{1}{4})}^{3} = \frac{1}{64}$