anonymous
  • anonymous
Find b: e^b - e^(1+b) = -4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
think X^a - X^b
anonymous
  • anonymous
so \[e ^{b-(1+b)}=-4\]
anonymous
  • anonymous
How did you get that? Could you please show me?

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anonymous
  • anonymous
do you remember the basic exponential rules \[x ^{a}-x ^{b}=x ^{a-b}\]
anonymous
  • anonymous
just because the base is e does not mean it is any different.
anonymous
  • anonymous
Now I get it.
anonymous
  • anonymous
But how can we get the answer for b when there is a negative 4
anonymous
  • anonymous
Aren't we supposed to log both sides?
anonymous
  • anonymous
okay here try this as well this would make more sense, try to simplify by taking out e^b from both sides
anonymous
  • anonymous
so \[e^b-e ^{1+b}=-4 \] becomes \[(1-e)e^b=-4\]
anonymous
  • anonymous
have x=e^b so to make it easier to see ; think (1-e)x=-4
anonymous
  • anonymous
do you follow me so far?
anonymous
  • anonymous
I didn't get this part : (1−e)e^b=−4
anonymous
  • anonymous
okay I know it looks kind of hard, okay take (1-e)e^b=-4 and expand it what do you get?
anonymous
  • anonymous
So you factorised
anonymous
  • anonymous
It's confusing
anonymous
  • anonymous
Now I get it
anonymous
  • anonymous
Then what do you do next?
anonymous
  • anonymous
I think I found the answer
anonymous
  • anonymous
i know, but trust me its not that hard.
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anonymous
  • anonymous
oh so you get whats your answer?
anonymous
  • anonymous
what did you get?
anonymous
  • anonymous
1 sec
anonymous
  • anonymous
0.849?
anonymous
  • anonymous
that's what i got, so i think you're right! (sorry for late response)
anonymous
  • anonymous
Thanks for your help. Are you familiar with addition of ordinates?
anonymous
  • anonymous
Can u give ms an example?

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