Question

Solve the equation e(power x) - e(power -x)=6

Answer 1

e^x -e^(-x) =6
e^x - 1/e^x =6
e^2x -1=6e^x
e^2x -6e^x -1 =0 note e^x =y - so than
y^2 -6y -1 =0
6 +/- radical(36+4) 2(3+/- radical 10)
y_1,_2 = ------------------ = ---------------- = 3+/- radical 10
2 2

- after this you need to resolving 2 cases :

1. when e^x = 3+radical 10
2. when e^x = 3-radical 10

Answer 2

well the any key is
a. In(6+square root 10)
b. In(3+square root 10)
c. In(1+square root 10)
d. Insquare root 10
e. In(2+square root 10

Answer 3

yes ln(3+/- sqrt 10)

Answer 4

- so can you understanding all ?

Answer 5

if yes your secondly exercise you can resolving the same like this

successes

Answer 6

well the any key is
a. In(6+square root 10)
b. In(3+square root 10)
c. In(1+square root 10)
d. Insquare root 10
e. In(2+square root 10

Answer 7

on step number three how did you get e to the power 2x?

Answer 8

so this is easy looke you need to check the denominator common and after this you need to multiplie the terms without this denominator with what you have got like

Answer 9

so this is clearly ?

Answer 10

because you have e^(-x) this sign that this is equal 1/e^x and hence there is one denominator

Answer 11

now do you understanding ?

Answer 12

I am still kind of confused?