Precalculus Examples

$\frac{\log (x^{8})}{90 x} = 7$

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, $b = 10$ , $x = x^{8}$ , and $y = 7$ .

$b = 10$

$x = x^{8}$

$y = 7$

Step 2

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

$10^{7} = x^{8}$