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 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

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

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

Let x_(1) and x_(2) be two solutions of the equalition log_(x)(3x^(log_(5)x)+4) = 2log_(5)x , then the product x_(1)x_(2) is equal to

If x_(1) and x_(2) are solution of the equation log_(5)(log_(64)|x|+(25)^(x)-(1)/(2))=2x , then

If x_(1) and x_(2) are solution of the equation log_(5)(log_(64)|x|+(25)^(x)-(1)/(2))=2x , then

If x_(1) and x_(2) are solution of the equation log_(5)(log_(64)|x|+(25)^(x)-(1)/(2))=2x , then

Sum of all the solutions of the equation 5^((log_(5)7)^(2x))=7^((log_(7)5)^(x)) is equal to