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Let’s check out your problem:
2
x
=
32
2^{x}=32
2
x
=
32
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Math Problems
Grade 8
Solve equations with variable exponents
Full solution
Q.
2
x
=
32
2^{x}=32
2
x
=
32
Identify base and target:
Identify the base and the target value.
2
2
2
raised to some power equals
32
32
32
. We need to find that power.
\newline
Base:
2
2
2
\newline
Target Value:
32
32
32
Express as power of
2
2
2
:
Express
32
32
32
as a power of
2
2
2
.
\newline
32
32
32
can be written as
2
5
2^5
2
5
because
2
×
2
×
2
×
2
×
2
=
32
2 \times 2 \times 2 \times 2 \times 2 = 32
2
×
2
×
2
×
2
×
2
=
32
.
Set equation and solve:
Set the equation and solve for
x
x
x
.
\newline
Since
2
x
=
32
2^x = 32
2
x
=
32
and
32
=
2
5
32 = 2^5
32
=
2
5
, then
2
x
=
2
5
2^x = 2^5
2
x
=
2
5
.
\newline
Therefore,
x
=
5
x = 5
x
=
5
.
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