Precalculus Examples

$x = \frac{\log (4)}{4 \cdot \log (1.63)}$

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, $b = 10$ , $x = 4$ , and $y = x$ .

$b = 10$

$x = 4$

$y = x$

Step 2

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

$10^{x} = 4$