Question

E^4x– 6 e ^2x – 55=0

Answer 1

Hi there!

The answer to this question is: 1.198945

Explanation:

Treat eˣ like a "x" if you can temporarily replace eˣ with "x"

so now it's (x²- 11) (x²+6)=0 then replace "x" with eˣ

then you should get e²ˣ = 11 and e²ˣ = -6

next in order to solve for x, you must ln both sides

and you get 2x = ln(11) and you should get 1.198945

****keep in mind: e²ˣ = -6 will be undefined when you ln both sides