Finite Math Examples

$\log (12) = \log (2^{2} \cdot 3)$

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, $b = 10$ , $x = 12$ , and $y = \log (2^{2} \cdot 3)$ .

$b = 10$

$x = 12$

$y = \log (2^{2} \cdot 3)$

Step 2

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

$10^{\log (2^{2} \cdot 3)} = 12$