Answer:log
4
(
1
64
)
Rewrite as an equation.
log
4
(
1
64
)
=
x
Rewrite
log
4
(
1
64
)
=
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
.
4
x
=
1
64
Create expressions in the equation that all have equal bases.
(
2
2
)
x
=
2
−
6
Rewrite
(
2
2
)
x
as
2
2
x
.
2
2
x
=
2
−
6
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2
x
=
−
6
Solve for
x
.
x
=
−
3
The variable
x
is equal to
−
3
.
−
3
Explanation: