Precalculus Examples

$(\log (x^{2}) + \log (x^{3})) = 3 (\log (100 x))$

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, $b = 10$ , $x =$ , and $y = 3 (\log (100 x))$ .

$b = 10$

$x =$

$y = 3 (\log (100 x))$

Step 2

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

$10^{3 (\log (100 x))} =$