Precalculus Examples

$\log (5) (x^{2} + x + 4) = 2$

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, $b = 10$ , $x = 5$ , and $y = 2$ .

$b = 10$

$x = 5$

$y = 2$

Step 2

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

$10^{2} = 5$