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Drake Mcintosh
Mathematics
15 June, 17:45
Log4 8 = simplify using properties of logarithm
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Amaris Chaney
15 June, 17:49
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Using logarithm property,
log4 (8) = log10 (8) / log10 (4)
= log10 (2) ^3 / log10 (2) ^2
= 3*log10 (2) / 2*log10 (2)
= 3/2
= 1.5
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Yoselin Barrera
15 June, 17:57
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8 = (2) cubed.
So log (8) in any base = 3 log (2) in the same base.
But 2 is the square root of 4, so in the base of 4, log₄ (2) = 1/2
log₄ (8) = 3 log₄ (2) = 3 x 1/2 = 1.5
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