find the value of log16^1/256. please frnds solve this prablem
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Answer:Here friend,i solved!
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Step-by-step explanation:Rewrite as an equation.
log
16
(
256
)
=
x
Rewrite
log
16
(
256
)
=
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
.
16
x
=
256
Create expressions in the equation that all have equal bases.
(
2
4
)
x
=
2
8
Rewrite
(
2
4
)
x
as
2
4
x
.
2
4
x
=
2
8
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
4
x
=
8
Solve for
x
.
x
=
2
The variable
x
is equal to
2
.
2
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