Question

e^x=3

Answer 1

okay i did that and i got a decimal as my answer. Am i supposed to get a decimal?

Answer 2

huh, what am i doing wrong?

Answer 3

i got 1.098 which would equal to 1.10

Answer 4

1.1 yup

Answer 5

take Ln both side

Answer 6

x=Ln3

Answer 7

we're past that @cinar no need to be super-hero about it

Answer 8

haha is it because of the avatar?

Answer 9

hehe cocoobird cigar just wants to be part of the action

Answer 10

who's cocoobird cigar?

Answer 11

or take \[\Large \log_{4} \] both side

Answer 12

I dont get it...

Answer 13

if yo want to, i guess...

Answer 14

\[\Large x=\frac{\log_{4}3}{\log_{4}e}=1.10\]

Answer 15

e^lnx=2

Answer 16

As long are you're taking a log of both sides, might as well use the base of e, because then you get xlne on the left side which simplifies to x, so you get x=lne. Fewer steps.

Answer 17

just for fun..

Answer 18

Thank you @cinar that really helped (visuals help me the most)

Answer 19

ohh that makes sense @DebbieG

Answer 20

But can also just convert from exponential to log form on this one......

e^x=3 means that ln3=x

Answer 21

Which is, IMO, the way easiest approach. :) But it works only because this is such a simple equation. Sometimes taking a log of both sides is the way to go.

Answer 22

it's what I said frommmmmmm theeee beginningggggg

Answer 23

so 3?

Answer 24

Oops, hate that I cant edit... above I said "because then you get xlne on the left side which simplifies to x, so you get x=lne. " I mean to so "so you get x=ln3."

Answer 25

close this and post another question please…

Answer 26

Sorry @nincompoop , I saw you saying "take log of both sides" and talking about log3, so I assumed you meant log base 10. I was just making the point that taking ln of both sides was easier, or even better, just switch forms.

Answer 27

\[\LARGE a^{Log_{a}x}=x\]

Answer 28

the trick is to learn the logarithmic properties