Question

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

Answer 1

`k = -0.1733`

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) = (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{(12)/(24)}`

`4k = -0.6931`

`k = -(0.6931)/(4)`

`k = -0.1733`