Precalculus Examples

$y = \log_{5} (x)$

Step 1

Rewrite the equation as $\log_{5} (x) = y$ .

$\log_{5} (x) = y$

Step 2

Rewrite $\log_{5} (x) = y$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$5^{y} = x$

Step 3

Rewrite the equation as $x = 5^{y}$ .

$x = 5^{y}$