Precalculus Examples

$\sqrt{\log (x - 4)} = \log (x - 4)$

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, $b = 10$ , $x =$ , and $y = \log (x - 4)$ .

$b = 10$

$x =$

$y = \log (x - 4)$

Step 2

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

$10^{\log (x - 4)} =$