Algebra Examples

$\log_{4} (256) = 4$

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, $b = 4$ , $x = 256$ , and $y = 4$ .

$b = 4$

$x = 256$

$y = 4$

Step 2

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

$4^{4} = 256$