the less interger a , for which
`1+log _(5)(x^(2)+1)le log_(5) (ax^(2)+4x+a)` is true for all `x in ` R is -

The sum of all the integral value(s) of k in[0,15] for which the inequality 1+log_(5)(x^(2)+1)<=log_(5)(kx^(2)+4x+k) is true for all x in R, is

The number of value of x satisfying 1+log_(5)(x^(2)+1)>=log_(5)(x^(2)+4x+1) is

The number of values of x satisfying 1 +"log"_(5) (x^(2) + 1) ge "log"_(5) (x^(2) + 4x +1) , is

The number of values of x satisfying 1 +"log"_(5) (x^(2) + 1) ge "log"_(5) (x^(2) + 4x +1) , is

log_5 ((2+x)/10)=log_5 (2/(x+1))

sqrt(log_(4){log_(3)(log_(2)(x^(2)-2x+a))}) defined for all x in R then a in:

Solve : log_(1-2x)(6x^(2)-5x+1)-log_(1-3x)(4x^(2)-4x+1)=2

Solve : log_(1-2x)(6x^(2)-5x+1)-log_(1-3x)(4x^(2)-4x+1)=2