find the value of the following log 625 base 25
Answers
Answer:
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Logarithm base
25
of
625
is
2
.
2
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Evaluate
log
25
(
625
)
Rewrite as an equation.
log
25
(
625
)
=
x
Rewrite
log
25
(
625
)
=
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
.
25
x
=
625
Create expressions in the equation that all have equal bases.
(
5
2
)
x
=
5
4
Rewrite
(
5
2
)
x
as
5
2
x
.
5
2
x
=
5
4
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2
x
=
4
Solve for
x
.
x
=
2
The variable
x
is equal to
2
.
2