Find the possible values of 'a' such that the inequality `3-x^(2)gt |x-a|` has atleast one negative solution

Find the possible values of p such that the equation px^(2)=ln x has exactly one solution.

Find the possible values of p such that the equation px^(2)=log_(e)x has exactly one solution.

Find the possible values of p such that the equation px^(2)=log_(e)x has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Find the possible values of p such that the equation p x^2=(log)_e x has exactly one solution.

Consider the inequality, 9^(x)-a.3^(x)-a+3 le 0 , where 'a' is a real parameter. (a) Find the value of 'a' for which the inequality has at least one negative solution. (b) Find the values of 'a' for which the inequality has at least one positive solution. (c) Find the vlaues of 'a' for which the inequality has at least one real solution.