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The inverse function of loge x is...

The inverse function of `log_e x` is

A

a) `e^x`

B

b) 1/x

C

c) `1/(log_e x)`

D

d) `x/(log_e x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `y = log_e x = f(x)`
`therefore x = f^-1(y) rArr x = e^y = f^-1 (y)`
`therefore f^-1 (x) = e^x`
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