Product of roots of equation `x^(log_10 x)=100x` is

The product of the roots of equation x^(log_(10)x)=(10^(4))/(x^(3)) is

The product of roots of the equation (3)/((log_8x)^2)=3 is

The number of roots of the equation x^(log_X(x+3)^2)=16 is

Product of all the solution of equation x^(log_(10)x)=(100+2^(sqrt(log_(2)3))-3^(sqrt(log_(3)2)))x is

Product of all the solution of equation x^(log_(10)x)=(100+2^(sqrt(log_(2)3))-3sqrt(log_(3)2))x is

Product of roots of the equation (log_(a)x)^(3)-12(log x)^(2)+44log_(a)x-48=0 is 64, then a is

If x_1 and x_2 are the solutions of the equation x^(log_(10)x)=100x such that x_1gt1 and x_2lt1 , the value of (x_1x_2)/2 is

If x_1 and x_2 are the solutions of the equation x^(log_(10)x)=100x such that x_1gt1 and x_2lt1 , the value of (x_1x_2)/2 is

If x_1 and x_2 are the solutions of the equation x^(log_(10)x)=100x such that x_1gt1 and x_2lt1 , the value of (x_1x_2)/2 is

If x_1 and x_2 are the solutions of the equation x^(log_(10)x)=100x such that x_1gt1 and x_2lt1 , the value of (x_1x_2)/2 is