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Mathematics
Ariella Andrews
18 June, 22:41
What is the inverse of y = 2//x
+5
Answers (
1
)
Pearson
18 June, 23:35
0
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.
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