Finite Math Examples

$\log (\frac{8}{3}) = \log ({(1 + \frac{0.08}{12})}^{n})$

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, $b = 10$ , $x = \frac{8}{3}$ , and $y = \log ({(1 + \frac{0.08}{12})}^{n})$ .

$b = 10$

$x = \frac{8}{3}$

$y = \log ({(1 + \frac{0.08}{12})}^{n})$

Step 2

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

$10^{\log ({(1 + \frac{0.08}{12})}^{n})} = \frac{8}{3}$