what is the inverse of y=ln(x)?

Answer 1

y = f(x)

f ^ (-1) (y) = x

f ^ (-1) (ln x) = x

Let u = ln x

Thus e^(u) = x

f ^(-1) u = e^(u)

f ^ (-1) x = e^(x)

Answer 2

the answer is x=e^y as ln and e^ are inverse to each other

Answer 3

If f(x) = ln(x), then

f^(-1)(x) = e^x

As per any process of solving for the inverse:

Let y = f(x). Then

y = ln(x). Swapping the x and y terms,

x = ln(y). Solving for y we obtain,

y = e^x, meaning

f^(-1)(x) = e^x

Answer 4

x=e^y.

ln and e^ are inverses of each other.