Question

ln(y) = -2x + c

Just did separation of variables. Solving for y (general solution). I cannot for the life of me figure out how to undo a natural log.

Answer 1

e^(ln(y))=y for y>0

Answer 2

\[y=e^{-2x+c}\]
you can make answer look prettier

Answer 3

Woah. e^lny = y? Man, I need to relearn natural log stuff. That's not connecting for me at all

Answer 4

yes f(x)=ln(x) has inverse function g(x)=e^x
ans so f((g(x))=x and g(f((x))=x on their domains

Answer 5

\[y=ke^{-2x} \text{ since } e^c \text{ is a constant }\]

Answer 6

is what I meant about making the answer look prettier

Answer 7

*Whistles*
Thanks

Answer 8

lol you whistled at a problem