log 25to the power of 5
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Answer:
5
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Precalculus Examples
Popular Problems Precalculus Evaluate log base 5 of 25
log
5
(
25
)
Rewrite as an equation.
log
5
(
25
)
=
x
Rewrite
log
5
(
25
)
=
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
.
5
x
=
25
Create equivalent expressions in the equation that all have equal bases.
5
x
=
5
2
Since the bases are the same, the two expressions are only equal if the exponents are also equal.
x
=
2
The variable
x
is equal to
2
.
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