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
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
The simplified form of lo g 4 8 is 2 3 or 1.5. This is achieved by expressing 8 as 2 3 and using the properties of logarithms to simplify. Finally, we determine that lo g 4 ( 2 ) = 2 1 which leads to the final answer.
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ケンジー・アシドキDibaca: Kenjī AshidokiPenulisan huruf jepang disesuaikan dengan pengucapan lidah orang jepang,.