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09^(" 50.")f(x)=log(100x)((2log(10)x+2)/...

09^(" 50.")f(x)=log_(100x)((2log_(10)x+2)/(-x))" Фा(ฯभु(ळड म॰ "$sqrt(1)(root(3)(4))

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f(x)=log_((100x))((2log_(10)x+1)/(-x)) exists if x in

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The domain of definition of f(x)=log_(100x)((2 log_(10)x+1)/(-x)) , is

(log_(10)100x)^(2)+(log_(10)10x)^(2)+log_(10)x<=14

log^(2)(100x)+log^(2)(10x)=14+log((1)/(x))

((log_(10)x)/(2))^(log_(10)^(2)x+log_(10)x^(2)-2)=log_(10)sqrt(x)