what is the value of log 2 to the base 8
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4
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Algebra Examples
Popular Problems Algebra Evaluate log base 8 of 2
log
8
(
2
)
Logarithm base
8
of
2
is
1
3
.
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Rewrite as an equation.
log
8
(
2
)
=
x
Rewrite
log
8
(
2
)
=
x
in exponential form using the definition of a logarithm. If
x
and
b
are positive real numbers and
b
does not equal
1
, then
log
b
(
x
)
=
y
is equivalent to
b
y
=
x
.
8
x
=
2
Create expressions in the equation that all have equal bases.
(
2
3
)
x
=
2
1
Rewrite
(
2
3
)
x
as
2
3
x
.
2
3
x
=
2
1
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
3
x
=
1
Solve for
x
.
x
=
1
3
The variable
x
is equal to
1
3
.
1
3
The result can be shown in multiple forms.
Exact Form:
1
3
Decimal Form:
0.
¯
3
Answered by
7
Answer:
3
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