Question

1. write an equivalent exponential or logarithmic equation.

a) ( e^{7x} = 36 )
b) ( ln 32 = x )

Explanation:

Step1: Convert exp to natural log

Recall that $e^y = z$ is equivalent to $\ln z = y$. For $e^{7x}=36$, set $y=7x$, $z=36$.
$\ln 36 = 7x$

Step2: Convert natural log to exp

Recall that $\ln z = y$ is equivalent to $e^y = z$. For $\ln 32 = x$, set $y=x$, $z=32$.
$e^x = 32$

Answer:

a) $\ln 36 = 7x$
b) $e^x = 32$