Precalculus Examples

$\ln (\frac{38.7}{47.6}) = e^{k (19)}$

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, $b = e$ , $x = \frac{38.7}{47.6}$ , and $y = e^{k (19)}$ .

$b = e$

$x = \frac{38.7}{47.6}$

$y = e^{k (19)}$

Step 2

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