Question

Solve this equation? e^(2^x) = (e^3x) (1/(e^2))

Answer 1

\[e^{2^x}=\frac{e^{3x}}{e^2}\]?

Answer 2

if so, right hand side is
\[e^{3x-2}\] and since exp is a one to one function your job is to solve
\[2^x=3x-2\]

Answer 3

unless the left hand hand side is
\[(e^2)^x\]

Answer 4

in which case you solve
\[2x=3x-2\]

Answer 5

in which case you get x = 2 by inspection

Answer 6

actually 2 is a solution to
\[2^x=3x-2\] as well, but there is also another solution that i have no idea how to find using algebra

Answer 7

yes the first one is how it looks

Answer 8

hello sensei! did you see that my myininaya is a
\[\color{red}{\text{master!}}\]

Answer 9

well if it is the first one 2 is a solution. there is another solution that i can find graphically. maybe there is some other way to find it. that is there are two solutions to
\[2^x=3x-2\]

Answer 10

i saw :) they grow up so fast these days

Answer 11

lol

Answer 12

we are all following in your footsteps

Answer 13

i hope not lol

Answer 14

hey how about
\[\color{green}{\text{children of amistre}}\] as the next level?

Answer 15

with any luck yall do better :)

Answer 16

amistre how did you become moderator?
and do you have any cool chores?

Answer 17

like do they make you get the e-pizza?

Answer 18

its by invitations; not really an experience level. my chores are to pretty much try to encourage safe interneting .. and take out the trash

Answer 19

so you don't get the e-pizza?
thats lame

Answer 20

they make me grovel and beg for a window seat :)

Answer 21

lol