Question

e^4x-10=13 solve for x

Answer 1

\[e ^{4x}-10=13\]

Any ideas @Milrawr ?

Answer 2

the 10 is still in the exponent

Answer 3

oh okay
\[e ^{4x-10}=13\]

Answer 4

i'm not sure what to do i got 4x-10=e^13

Answer 5

Take the natural log of both sides ? :D

Answer 6

i did that i just don't know what to do after that

Answer 7

Can i see some work?

Answer 8

e^4x-10=13
lne(4x-10)=e^13 the lne cancel so
4x-10=e^13

Answer 9

i'm probably doing it wrong :(

Answer 10

Hmm soo...
Why would it be e^13? You would only do that to undo a natural log...
So it's ln(13)
Otherwise.. everything else looks right :)

Answer 11

well i know the answer but it's not e^13

Answer 12

sorry ln(13)

Answer 13

Yep! (:

Answer 14

so what is x?

Answer 15

i don't know lol

Answer 16

there's an answer key with it i just don't understand how to get the answer

Answer 17

Milrawr: This discussion is taking a long while because of the ambiguity of your original expression.

In a case like this, you could either take and share a screen shot of the original problem, or you could draw it in the Draw utility (below).

Please draw the original function as carefully as you can.

Answer 18

There's no drawing for this function. It's just an equation.

Answer 19

No, Milrawr, I'm asking YOU to draw this function.

Answer 20

But there's no need to??
It's supposed to be done with algebra..

Answer 21

Milrawr, your choice. You're missing the point here.
This conversation has gone on and on primarily because the equation you shared is not precisely the same as the original function. Please decide: Either draw the original function accurately, or you're on your own.

Answer 22

try this example .. its similar to your equation
http://www.coolmath.com/sites/cmat/files/images/11-exponentials-06.gif

Answer 23

i'm sorry that's dealing with growth rate it's not that bc there's an exact answer

Answer 24

At this point, I'm leaving. Again and again I have asked you to share the original equation by drawing it, but you always counter that simple request.

Good luck, Mil.

Should you change your mind and try to cooperate, let me know.

Answer 25

it's the first one sunny strong wrote and stop being so rude.

Answer 26

As you wish, Milrawr. Good bye.

Answer 27

lol i did it??

Answer 28

Yes, you did it, Milrawr. You lost the chance to learn something valuable from someone who at first really wanted to help you.

Answer 29

\[e ^{4x-10}=13\]
taking natural log of both sides
\[\ln e ^{4x-10}=\ln 13, (4x-10)\ln e=\ln 13\]
4x-10=ln 13=2.56
4x=2.56+10=12.56
x=?

Answer 30

@mathmale I'm sorry I don't think the equation went through when I wrote it in the box. My apologies.