Precalculus Examples

$A (400) = (500) e^{\frac{\ln (\frac{1}{2})}{100} \cdot (400)}$

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, $b = e$ , $x =$ , and $y = A (400)$ .

$b = e$

$x =$

$y = A (400)$

Step 2

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

$e^{A (400)} =$