Precalculus Examples

${(- 3 x + 10)}^{3} = \ln (66)$

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, $b = e$ , $x = 66$ , and $y = {(- 3 x + 10)}^{3}$ .

$b = e$

$x = 66$

$y = {(- 3 x + 10)}^{3}$

Step 2

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