Solution set of `x^((log_(10)x)^(2)-3log_(10)x+1)gt 1000` for `x epsilon R` is

Solution x^((log_(10)x)^(2)-(3log_(10))^(x+1))>1000 for x in R is

Solve |x-1|^((log_(10) x)^2-log_(10) x^2=|x-1|^3

Solve |x-1|^((log_(10) x)^2-log_(10) x^2=|x-1|^3

The set of all real numbers satisfying the inequation x^((log_(10) x)^(2)-3(log10 x)+1) gt 1000 , is

Solve |x-1|^((log_(10)x)^(2)-log_(10)x^(2))=|x-1|^(3)

Let I_(1) : (log_(x)2) (log_(2x)2) (log_(2)4x)gt1 I_(2) : x^((log_(10)x)^(2)-3(log_(10)x)+1) gt 1000 and solution of inequality I_(1) is ((1)/(a^(sqrt(a))),(1)/(b))cup(c, a^(sqrt(a))) and solution of inequality I_(2) is (d, oo) then answer the following Both root of equation dx^(2) - bx + k = 0, (k in R) are positive then k can not be

Let I_(1) : (log_(x)2) (log_(2x)2) (log_(2)4x)gt1 I_(2) : x^((log_(10)x)^(2)-3(log_(10)x)+1) gt 1000 and solution of inequality I_(1) is ((1)/(a^(sqrt(a))),(1)/(b))cup(c, a^(sqrt(a))) and solution of inequality I_(2) is (d, oo) then answer the following Both root of equation dx^(2) - bx + k = 0, (k in R) are positive then k can not be

Let I_(1) : (log_(x)2) (log_(2x)2) (log_(2)4x)gt1 I_(2) : x^((log_(10)x)^(2)-3(log_(10)x)+1) gt 1000 and solution of inequality I_(1) is ((1)/(a^(sqrt(a))),(1)/(b))cup(c, a^(sqrt(a))) and solution of inequality I_(2) is (d, oo) then answer the following Sum of 'd' term of a GP whose common ratio is (1)/(a) and first term is c is more than

Let I_(1) : (log_(x)2) (log_(2x)2) (log_(2)4x)gt1 I_(2) : x^((log_(10)x)^(2)-3(log_(10)x)+1) gt 1000 and solution of inequality I_(1) is ((1)/(a^(sqrt(a))),(1)/(b))cup(c, a^(sqrt(a))) and solution of inequality I_(2) is (d, oo) then answer the following Sum of 'd' term of a GP whose common ratio is (1)/(a) and first term is c is more than