Question

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

Answer 1

`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 #)

Answer 2

`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`