log 0.25 to the base 2
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Answer:
Log 0.25 to the base 2
log (25/100) to the base 2
log 25 to the base 2 - log 100 to the base 2
log 5² to the base 2 - log 2² × 5² to the base 2
2 log5 to the base 2 - 2( log 2 to the base 2 + log 5 to the base 2
2 log 5 to the base 2 - 2log 2 to the base 2 - 2 log 5 to the base 2
-2 log 2 to the base 2 = 2 × -1 = -2
Or refer to the attachment
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Answered by
1
Answer:
-2
Step-by-step explanation:
log2 (0.25)
= log2 (1/4)
= log2 (1/2²)
= -2 log2 (2) (Because x power (-n) = 1/x power (n)
and logb (x power (n) = n logb (x))
= -2(1) (Because logb (b) = 1)
= -2
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