Trigonometry Examples

$\log_{6} (\ln (e^{x})) = 45$

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, $b = 6$ , $x = \ln (e^{x})$ , and $y = 45$ .

$b = 6$

$x = \ln (e^{x})$

$y = 45$

Step 2

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

$6^{45} = \ln (e^{x})$