Finite Math Examples

$\log (x^{2} + 11 x) = \log (- 24)$

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, $b = 10$ , $x = x^{2} + 11 x$ , and $y = \log (- 24)$ .

$b = 10$

$x = x^{2} + 11 x$

$y = \log (- 24)$

Step 2

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

$10^{\log (- 24)} = x^{2} + 11 x$