Question

What function is the inverse of the exponential function y = 4x?

Answer 1

Answer:

y

=

ln

x

ln

4

Explanation:

Switch the places of

x

,

y

and subsequently solve for

y

:

y

=

4

x

x

=

4

y

ln

(

4

y

)

=

ln

x

We need to get an explicit solution, IE, isolate

y

.

Recalling that

ln

(

a

b

)

=

b

ln

a

:

y

ln

(

4

)

=

ln

x

y

=

ln

x

ln

4

Explanation: