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 px^(2)=ln x has exactly one solution.

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

The number of integral values of n such that the equation 2n{x}=3x+2[x]has exactly 5 solutions.

Find the least value of k such that the equation (ln x)+k=e^(x-k) has a solution.

For what values of c does the eqoation ln x = cx^2 have exactly one solution ?

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

The equation 2log(x+3)=log(alphax) has only one solution if

Find the values of a if equation 1-cos x=(sqrt(3))/(2)|x|+a,x in(0,pi), has exactly one solution.

Find the values of p for which the equation 1+p sin x=p^(2)-sin^(2)x has a solution