log 256 to the base o.5
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0
Answer:
The change of base rule can be used if
a
and
b
are greater than
0
and not equal to
1
, and
x
is greater than
0
.
log
a
(
x
)
=
log
b
(
x
)
log
b
(
a
)
Substitute in values for the variables in the change of base formula, using
b
=
10
.
log
(
256
)
log
(
0.5
)
The result can be shown in multiple forms.
Exact Form:
log
(
256
)
log
(
0.5
)
Decimal Form:
−
8
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