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

Positive numbers x,y backslash and backslash z satisfy xyz:)=(:10^(1) and (log_(10)x)*(log_(10)yz)+(log_(10)y)*(log_(10)z)=468. Find the value of (log_(10)x)^(2)+(log_(10)y)^(2)+(log_(10)z)^(2)

Positive numbers x,y and z satisfy xyz=10^(81) and (log_(10)x)(log_(10)yz)+(log_(10)y)(log_(10)z)=468. Find the value of (log_(10)x)^(2)+(log_(10)y)^(2)+(log_(10)z)^(2)

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

(log_(10)x)^(2)+log_(10)x^(2)=(log_(10)2)^(2)-1

log_(10)^(2) x + log_(10) x^(2) = log_(10)^(2) 2 - 1

The equation (log_(x) 10)^(3) -(log_(x) 10)^(2) - 6 log_(x) 10 = 0 is satisfied by a value of x given by

The equation (log_(x) 10)^(3) -(log_(x) 10)^(2) - 6 log_(x) 10 = 0 is satisfied by a value of x given by

The value of p in R for which the equation sin^(-1)((log_(10)x)^(2)-2log_(10)x+2)+tan^(-1)((log_(10)x)^(2)-2log_(10)x+2)+cos^(-1)((log_(10)x)^(2)-2(log_(10)x))=p possess solution is

Solution set of the in equality log_(10^(2)) x-3(log_(10)x)( log_(10)(x-2))+2 log_(10^(2))(x-2) lt 0 , is :