Answer
$k=\dfrac{\ln 8}{4}$
Work Step by Step
We are given the equation:
$48=6e^{4k}$
Divide both sides by 6:
$\dfrac{48}{6}=\dfrac{6e^{4k}}{6}$
$8=e^{4k}$
Apply logarithm:
$\ln 8=\ln e^{4k}$
$\ln 8=4k\ln e$
$\ln 8=4k$
Divide both sides by 4:
$\dfrac{\ln 8}{4}=\dfrac{4k}{4}$
$k=\dfrac{\ln 8}{4}$
