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b ......................
manaya39:
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Option b
-4
Rewrite as an equation.
log
1
5
(
625
)
=
x
log
1
5
(
625
)
=
x
Rewrite
log
1
5
(
625
)
=
x
log
1
5
(
625
)
=
x
in exponential form using the definition of a logarithm. If
x
x
and
b
b
are positive real numbers and
b
b
does not equal
1
1
, then
log
b
(
x
)
=
y
log
b
(
x
)
=
y
is equivalent to
b
y
=
x
b
y
=
x
.
(
1
5
)
x
=
625
(
1
5
)
x
=
625
Create expressions in the equation that all have equal bases.
(
5
−
1
)
x
=
5
4
(
5
-
1
)
x
=
5
4
Rewrite
(
5
−
1
)
x
(
5
-
1
)
x
as
5
−
x
5
-
x
.
5
−
x
=
5
4
5
-
x
=
5
4
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
−
x
=
4
-
x
=
4
Solve for
x
x
.
x
=
−
4
x
=
-
4
The variable
x
x
is equal to
−
4
-
4
.
−
4
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