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Let’s check out your problem:
log
2
8
=
\log _{2} 8=
lo
g
2
8
=
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Math Problems
Grade 8
Relationship between squares and square roots
Full solution
Q.
log
2
8
=
\log _{2} 8=
lo
g
2
8
=
Problem statement:
We are asked to find the value of
log
2
8
\log_{2}8
lo
g
2
8
. This means we want to find the exponent that
2
2
2
must be raised to in order to get
8
8
8
.
Finding the base:
We know that
2
2
2
raised to the power of
3
3
3
is
8
8
8
, because
2
×
2
×
2
=
8
2 \times 2 \times 2 = 8
2
×
2
×
2
=
8
.
Calculating the exponent:
Therefore,
log
2
8
\log_{2}8
lo
g
2
8
is equal to
3
3
3
, since
2
3
=
8
2^{3} = 8
2
3
=
8
.
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