Question

Find b:

e^b - e^(1+b) = -4

Answer 1

think X^a - X^b

Answer 2

so \[e ^{b-(1+b)}=-4\]

Answer 3

How did you get that? Could you please show me?

Answer 4

do you remember the basic exponential rules \[x ^{a}-x ^{b}=x ^{a-b}\]

Answer 5

just because the base is e does not mean it is any different.

Answer 6

Now I get it.

Answer 7

But how can we get the answer for b when there is a negative 4

Answer 8

Aren't we supposed to log both sides?

Answer 9

okay here try this as well this would make more sense, try to simplify by taking out e^b from both sides

Answer 10

so \[e^b-e ^{1+b}=-4 \] becomes \[(1-e)e^b=-4\]

Answer 11

have x=e^b
so to make it easier to see ; think (1-e)x=-4

Answer 12

do you follow me so far?

Answer 13

I didn't get this part :
(1−e)e^b=−4

Answer 14

okay I know it looks kind of hard, okay take (1-e)e^b=-4 and expand it
what do you get?

Answer 15

So you factorised

Answer 16

It's confusing

Answer 17

Now I get it

Answer 18

Then what do you do next?

Answer 19

I think I found the answer

Answer 20

i know, but trust me its not that hard.

Answer 21

oh so you get whats your answer?

Answer 22

what did you get?

Answer 23

1 sec

Answer 24

0.849?

Answer 25

that's what i got, so i think you're right!
(sorry for late response)

Answer 26

Thanks for your help. Are you familiar with addition of ordinates?

Answer 27

Can u give ms an example?