Precalculus Examples

$\log_{256} (A - 5) = - \frac{1}{4}$

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, $b = 256$ , $x = A - 5$ , and $y = - \frac{1}{4}$ .

$b = 256$

$x = A - 5$

$y = - \frac{1}{4}$

Step 2

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

$256^{- \frac{1}{4}} = A - 5$