Number of real values of x satisfying the equation log2⁡x2−xlog2⁡x−1x+log2⁡x2=4 is

We have log2⁡x2−xlog2⁡x−1x+log2⁡x2=4⇒ [log⁡(x−1)+log⁡x][log⁡(x−1)−log⁡x]+log2⁡x2=4⇒ log2⁡(x−1)2−log2⁡x2+log2⁡x2−4=0⇒ log2⁡(x−1)2=4⇒ log2⁡(x−1)=±2⇒ x−1=4 or 14⇒ x=5 or 54