Precalculus Examples

$3 x = \log_{1.6} (5)$

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, $b = 1.6$ , $x = 5$ , and $y = 3 x$ .

$b = 1.6$

$x = 5$

$y = 3 x$

Step 2

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

${1.6}^{3 x} = 5$