Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(240).

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01-05-2018
Mathematics

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Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(240).

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sqdancefan sqdancefan · Answer 1 · 2018-05-01T09:41:07+02:00

sqdancefan sqdancefan

01-05-2018

[tex]\log_{4}(240)=\log_{4}(3 \cdot 4^{2} \cdot 5) = \log_{4}(3) +\log_{4}(4^{2}) +\log_{4}(5) = 0.7925 +2 +1.1610 = 3.9535[/tex]

[tex]\log_{4}(240) \approx 3.9535[/tex]

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