(log_(10)8)x^(2)-(log_(10)5)x=2(log_(2)10)^(-1)-x

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

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)

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

4^(log_(10)x+1)-6^(log_(10)x)-2*3^(log_(10)x^(2)+2)=0. Find x

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

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 :

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 :

The equation (log_(10)x+2)^(3)+(log_(10)x-1)^(3)=(2log_(10)x+1)3