Solve the Logarithmic Equation $$\log _ { 2 } x = \log _ { 2 } \frac { 1 } { x } + 6$$

Multiple Choice

Solve the logarithmic equation. Check the solution. $$\log _ { 2 } x = \log _ { 2 } \frac { 1 } { x } + 6$$

A) $x =$ 10
B) $x =$ 27
C) $x =$ 6.
D) $x =$ 6
E) $x =$ 8