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logx2. log(2x)2 log2 (4x)> 1...

`log_x2. log_(2x)2 log_2 (4x)> 1`

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Solve the inequality: log_(x)2.log_(2x)2. log_(2)4x gt 1

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