Select the correct inverse function of f (x) = ex. f (x) = ex f (x) = ln x f (x) = logbx f (x) = ln10x

For this case we have the following function:

f (x) = e ^ x

Rewriting we have:

y = e ^ x

We apply natural logarithm to both sides:

Ln (y) = Ln (e ^ x)

For logarithmic and exponential properties:

x = Ln (y)

Rewriting:

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

Answer:

the correct inverse function is:

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