Finite Math Examples

$x = - \frac{\ln (- 0.5 + 1.044)}{0.0926}$

Step 1

Multiply both sides by $- 1$ to remove the negative sign in front of the logarithm.

$- x = \frac{\ln (- 0.5 + 1.044)}{0.0926}$

Step 2

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, $b = e$ , $x = - 0.5 + 1.044$ , and $y = - x$ .

$b = e$

$x = - 0.5 + 1.044$

$y = - x$

Step 3

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

$e^{- x} = - 0.5 + 1.044$