Question

In Exercise, solve the equation for k. 12 = 24e4k

Answer 1

Answer:

$k = -0.1733$

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

$24e^{4k} = 12$

$e^{4k} = \frac{12}{24}$

The ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.

$\ln{e^{4k}} = \ln{\frac{12}{24}}$

$4k = -0.6931$

$k = -\frac{0.6931}{4}$

$k = -0.1733$