If e^4x-e=0e4xe=0 what is xx? Alternately, if e^(4x)-e=0e4xe=0 what is xx?

2 Answers
Sep 19, 2016

x=e^(-3)x=e3

Explanation:

Given
color(white)("XXX")e^4x-e=0XXXe4xe=0
then
color(white)("XXX")e^4x=eXXXe4x=e
and (after dividing both sides by e^4e4
color(white)("XXX")x=e^(-3)XXXx=e3

(Using a calculator for an approximation: e^(-3) = 0.049787068 e3=0.049787068)

Sep 19, 2016

x=1/4x=14

Explanation:

e^(4x)-e=1 " and adding e to both sides"e4xe=1 and adding e to both sides

e^(4x)=e^1" and since the bases (e) are equal, then"e4x=e1 and since the bases (e) are equal, then

4x=1rArrx=1/44x=1x=14