Question

find the point of intersection of y=e^2x and y =e^X+2

Answer 1

you should have taken one equation as z or anything else
both can't be y

Answer 2

huh? thats what the question says

Answer 3

so i was thinking you can say that e^2x = e^X+2
but i don't now how to solve from there onwards

Answer 4

ok

Answer 5

is capital x given? or is that normal x?

Answer 6

oh sorry its meant to be a normal x LOL

Answer 7

lol

Answer 8

e^2x-e^x=2
e^x(e^x - 1) = 2
so either e^x = 2 or e^x = 3

Answer 9

so x = log(2) ~ .7

Answer 10

or x = log(3) ~ .47

Answer 11

what??

Answer 12

no no my dear this is not right.

Answer 13

well i dont know how is the log(3) coming here

Answer 14

thank you mridul1 anyways!

Answer 15

@vertus i answered in previous post
@mridul1 if you have
\[x(x-1)=2\] you cannot conclude that
\[x=2\] or
\[x=3\] or anything for that matter. you have to solve the quadratic
\[x^2-x-2=0\]

Answer 16

oh yes you're right my silly mistake
thanks for pointing it out

Answer 17

^.^