9514 1404 393
Answer:
log4(2) = 0.5000
Step-by-step explanation:
You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...
2 = 6/3
Taking logs base 4, you have ...
log4(2) = log4(6/3) = log4(6) -log4(3)
log4(2) = 1.2925 -0.7925
log4(2) = 0.5000
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<em>Additional comment</em>
This is consistent with your knowledge of factors of 4:
√4 = 4^(1/2) = 2
log4(2) = 1/2
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Here, we're using "log4" to mean the base-4 logarithm.
