How do you solve -2*e^(8-6n)=-81.4?

1 Answer
Nov 16, 2017

Solution: n ~~ 0.715

Explanation:

-2* e^(8-6n) = -81.4 or

e^(8-6n) = (-81.4)/-2 or e^(8-6n) = 40.7

Taking natural log on both sides we get ,

(8-6n) = ln (40.7) [ ln e^x = x]

8-6n= 3.71 or 6n = 8-3.71 or 6n=4.29

:. n= 4.29/6~~ 0.715 (3dp)

Solution: n ~~ 0.715 [Ans]