Precalculus Examples

$\log_{9} (200) = \log_{x} (y)$

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, $b = 9$ , $x = 200$ , and $y = \log_{x} (y)$ .

$b = 9$

$x = 200$

$y = \log_{x} (y)$

Step 2

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

$9^{\log_{x} (y)} = 200$