Question

3*e^(4-3x)+1.6=45.6
need help solving

Answer 1

I managed to get
e^(4-3x)=44/3 by subtracting 1.6, then dividing 3 from both sides.

Answer 2

looks good so far

Answer 3

Sorry I'm blanking out on what to do next,

Answer 4

Could you please help me?

Answer 5

we can take log of both sides

Answer 6

'ln' it

Answer 7

ln( e ^(4-3x) ) = ln (44/3) where ln is the natural (base e) log.

Answer 8

well I understand your mail, I need to simplify, and not get any exact answers with decimals, but only in the simplest form. Sorry

Answer 9

(4-3x)ln(e)=ln(44/33) is this right?

Answer 10

wht can I do to fix the ln of both side for x?

Answer 11

sorry I'm real lost

Answer 12

Yes.
(4-3x)ln(e)=ln(44/33)

ln(e)= 1 because e^1 =1

So, (4-3x)ln(e)=ln(44/33) becomes 4 - 3x = ln(44/33)

So what is the natural log of 44/33? Use your calculator or one online.

Then, we will be ready for the next step.

Answer 13

The Google calculator is helpful: Take a look.
https://www.google.com/?gws_rd=ssl#q=natural+log+of+44%2F33

Answer 14

Sorry I don't think I'm supposed to use a calculator. I think I was supposed to use e and log() and ln(). Is there a way to simplify ln(44/3) into a non-ln() way? If there isn't, i think thats the closest I can get to keep my answers exact.

Answer 15

you can keep it as ln(44/3), since there is no way to simplify that in a non-ln( ) way
Wait till the end to approximate

Answer 16

44/3 = 11 so I guess we are looking for the exact natural log of 11. It would be helpful to know the exact instructions for this problem.

Answer 17

@perl The OP wants exact answers. I don't know if that is altogether possible in this context.

Answer 18

4-3x=ln(44/3)
-3x=ln(44/3)-4
x=-ln(33/4)-4/-3
is this aout right?

Answer 19

x = [ ln(44/3) - 4 } / -3 , that is correct

Answer 20

Would I get full credit if I showed the work?
I mean, there is no way to simplify it more, right?

Answer 21

there is no way to simplify it more , unless you want to distribute the negative sign

Answer 22

x = ( 4 - ln(44/3) ) / 3

Answer 23

I see, So then it's simplified. Thanks!

Answer 24

:)