Find the number of solutions of the following equations: `x^(-1/2)(log)_(0. 5)x=1` `x^2-4x+3-(log)_2x=0`

Number of solutions of the equation ln|x|=||x|-2|

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

The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is

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

The number of solutions of log(2x)=2log(4x-15) is

The number of solutions of the equation "log"_(4) (x-1) = "log"_(2) (x-3) , is

Find the particular solutions of the following differential equation : (1) y(1+ log x) dx/dy - x log x = 0 , when , x =e , y= e^(2)

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