Precalculus Examples

$y = - \log (x)$

Step 1

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

$- y = \log (x)$

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, $b = 10$ , $x = x$ , and $y = - y$ .

$b = 10$

$x = x$

$y = - y$

Step 3

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

$10^{- y} = x$