Question

In Exercise, solve the equation for k.
22 = 32e-0.02k

Answer 1

18.6

Explanation:

We are given that

`22=32e^(-0.02k)`

We have to find the value of k.

Divide by 32 on both sides then we get

`(22)/(32)=e^(-0.02k)`

`(11)/(16)=e^(-0.02k)`

Taking ln on both sides then we get

`ln(11)/(16)=-0.02k`

`lne=1`

`ln11-ln16=-0.02k`

`log(m)/(n)=logm-logn`

`2.398-2.77=-0.02k`

`-0.372=-0.02k`

`k=(-0.372)/(-0.02)=18.6`

Hence, the value of k=18.6