What is the inverse of y = 2//x

Step-by-step explanation:

The inverse of

y

=

2

x

is

y

=

log

2

x

Explanation:

This is how to do it.

From the given

y

=

2

x

interchange the variables so that

x

=

2

y

then solve for y:

x

=

2

y

take the logarithm of both sides with base

=

2

log

2

x

=

log

2

2

y

log

2

x

=

y

and

y

=

log

2

x

The graph of

y

=

2

x

and its inverse

y

=

log

2

x

. They are symmetric with the line

y

=

x

graph{ (y-2^x) (y-log x/log 2) (y-x) = 0[-20,20,-10,10]}

God bless ... I hope the explanation is useful.