If `alpha and beta` are solutions of the equation `5^(log_5^2)+x^(log_5 x)=1250;` then `log_beta alpha` equals :

If p and q are solutions of the equation 5^((log_(5)^(2) x))+x^(log_(5)x)=1250 then log_(q)p has the value equal to

If alpha and beta are the roots of the equation (log_(2)x)^(2)+4(log_(2)x)-1=0 then the value of log_(beta)alpha+log_(alpha)beta equal to

If alpha and beta are solutions of the equation 4log_(3)^(2)x-4log_(3)x^(2)+1=0 then the value of |(sqrt(alpha beta)+1)/(sqrt(alpha beta)-1)| is

Number of integral solution of equation 5^(log_(5)^(2)x+x^(log5)x)=1250 is

If x_(1) and x_(2) are the solutions of the equation 5^((log_(5)x)^(2))+x^(log_(5)x)=1250, then x_(1)*x_(2) is equal to

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of alpha beta is

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of alpha beta is

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of log_(alpha)beta+log_(beta)alpha is

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of log_(alpha)beta+log_(beta)alpha is

if alpha and beta are the roots of the equation 2x^(2)-5x+3=0 then alpha^(2)beta+beta^(2)alpha is equal to