Answer:
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]}
