Examples

$2 = \ln (3 x)$

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, $b = e$ , $x = 3 x$ , and $y = 2$ .

$b = e$

$x = 3 x$

$y = 2$

Step 2

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

$e^{2} = 3 x$

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