Предмет: Алгебра, автор: salammolekym

Допоможіть будь ласка! 100 балів (@manyny06)

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Автор ответа: сок111213
2

38 {}^{ log_{3.8}(11) }  = 11 \\ 3 {}^{2 -  log_{3}(18) }  = 3 {}^{2}  \times 3 {}^{ -  log_{3}(18) }  = 9 \times 3 {}^{ log_{3}(18 {}^{ - 1} ) }  = 9 \times  \frac{1}{18}  = 0.5 \\ 6 {}^{ - 2 log_{6}(5) }  = 6 {}^{ log_{6}(5 {}^{ - 2} ) }  = 5 {}^{ - 2}  =  \frac{1}{25}  = 0.04 \\  log_{2}(7)  -  log_{2}( \frac{7}{16} )  =  log_{2}(7 \div  \frac{7}{16} )  =  log_{2}(16)  = 4 \\   log_{10}(13)  - log_{10}(130) = log_{10}(13 \div 130) = log_{10}( \frac{1}{10} ) =  - 1 \\ log_{10}(8)  + 3 \times log_{10}(5) = log_{10}(8) + log_{10}(5 {}^{3} ) = log_{10}(8) + log_{10}(125) = log_{10}(8 \times 125) = log_{10}(1000) = 3


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