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

2 Answers
Sep 19, 2016

x=e^(-3)

Explanation:

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

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

Sep 19, 2016

x=1/4

Explanation:

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

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

4x=1rArrx=1/4