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

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Answer 1 · 2017-11-16T12:35:32

Solution: #n ~~ 0.715#

# -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]