Question

In Exercise, solve the equation for k.
25 = 16e-0.01k

Answer 1

`k = -44.63`

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

`16e^(-0.01k) = 25`

`e^(-0.01k) = (25)/(16)`

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

`\ln{e^(-0.01k)} = \ln{(25)/(16)}`

`-0.01k = 0.4463`

`k = -(0.4463)/(0.01)`

`k = -44.63`