Question

Пожалуйста решите два уравнения с ЛОГАРИФМАМИ

Номер 37, 39

Answer 1

37)

$log_{sqrt{10}}x - lg x - log_{100}x = 1.5\ lg x/lgsqrt{10} - lg x - lg x/lg 100 = 1.5\ 2lg x-lg x - 0.5lg x = 1.5 \ 0.5lg x = 1.5\ lg x = 3\ x=1000$

39)
$log_{11}xlog_{4/3}x = log_{11}(4/3) \ log_{11}xlog_{11}x/log_{11}(4/3) = log_{11}(4/3) \ (log_{11}x)^2 = (log_{11}(4/3))^2 \ left [ {{log_{11}x=log_{11}(4/3)} atop {log_{11}x=-log_{11}(4/3)}} right. \ left [ {{x=4/3} atop {x=3/4}} right.$

Меньший корень x=3/4

Answer 2

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