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05-05-2020
Mathematics

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What is the approximate value of log6 1944 if log6(9)is approximately 1.2263

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talessilvaamaral talessilvaamaral

05-05-2020

[tex] log_{6}(1944) = log_{6}(324 \times 6) \\ log_{6}(18 {}^{2} \times 6) = log_{6}((3 \times 6) {}^{2} \times 6) \\ log_{6}(3 {}^{2} \times 6 {}^{2} \times 6) \\ \\ log_{6}(9) + log_{6}(6 {}^{3} ) = 1.2263 + 3 \\ 4.2263[/tex]

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