Question

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

Answer 1

Answer:

18.6

Step-by-step 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

$\frac{22}{32}=e^{-0.02k}$

$\frac{11}{16}=e^{-0.02k}$

Taking ln on both sides then we get

$ln\frac{11}{16}=-0.02k$

$lne=1$

$ln11-ln16=-0.02k$

$log\frac{m}{n}=logm-logn$

$2.398-2.77=-0.02k$

$-0.372=-0.02k$

$k=\frac{-0.372}{-0.02}=18.6$

Hence, the value of k=18.6