Question

In Exercise, solve the equation for k.
10 = 3e5k

Answer 1

`k = 0.2408`

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

`3e^(5k) = 10`

`e^(5k) = (10)/(3)`

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

`\ln{e^(5k)} = \ln{(10)/(3)}`

`5k = 1.204`

`k = (1.204)/(5)`

`k = 0.2408`