Precalculus Examples

$\log (a) = z$

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, $b = 10$ , $x = a$ , and $y = z$ .

$b = 10$

$x = a$

$y = z$

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

$10^{z} = a$