Q.

The equation \(\log_-\log_=2\) has

A. no real solution

B. exactly one real solution

C. exactly two real solutions

D. infinitely many real solutions

C. exactly two real solutions

\(\log_-\log_=2\)

\(\log_-\frac{\log_}=2\)

Let \(\log_=K\)

\(K-\frac=2\)

\(^-2K-1=0\)

\(K=\frac{-(-2)\pm\sqrt{{-2}^-4(1)(-1)}}\)

\(K=\frac\)

\(K=\frac{2\pm2\sqrt}\)

\(K=1+\sqrt\)  OR  \(K=1-\sqrt\)

Two real solutions