The number of distinct solutions of the equation `log_((1)/(2))|sin x|=2-log_((1)/(2))|cos x|` in the interval `[0,2 pi]` is

The number of solution of the equation log(-2x)= 2 log(x+1) are

The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2 in the interval [0,2pi] is

The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2 in the interval [0,2pi] is

The number of roots of the equation 1+log_(2)(1-x)=2^(-x) , is

The number of solutions of the equation log_(3)(3+sqrt(x))+log_(3)(1+x^(2))=0 , is

The number of solutions of the equation log_(x+1)(x-0.5)=log_(x-0.5)(x+1) is

Find the solutions of the equation, (log)_(sqrt(2)sin"x")(1+cosx)=2, in the interval x [0,2pi]

The number of solutions of the equation log_(sqrt2sin x)(1+cosx)=2 in the interval [0, 5pi] is

The number of real solutions of the equation "log" (-x) = 2"log" (x+1) , is

Find the number of solution of log_(1/2) |sinx| = 2 - log_(1/2) |cosx|, x in [0, 2pi]