Find the total number of solutions of `sinpix=|ln|x||`

Find the total number of solutions to sinpi x=|ln|x|| .

Find the number of solutions of sin pix=|log_(2)(-x)|

Find the total number of solutions to the equation x^2 + y^2 = 2015 where both x and y are integers.

Find the number of solutions of 4{x}=x+[x].

Total number of solutions of the equation sin pi x=|ln_(e)|x|| is :

The total number of solutions of log_e |sin x| = -x^2 +2x in [0,pi] is equal to

The total number of solutions of log_e |sin x| = -x^2 +2x in [0,pi] is equal to

Find the number of solutions to log_(e) |sin x| = -x^(2) + 2x in [-(pi)/(2), (3pi)/(2)] .

Find the number of solutions of |x|*3^(|x|) = 1 .

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.