Solve the Equation $$\left( \frac { 1 } { 2 } \right) ^ { x } = 7 ^ { 1 - x }$$

Multiple Choice

Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places.
- $$\left( \frac { 1 } { 2 } \right) ^ { x } = 7 ^ { 1 - x }$$

A) $\frac { \ln \left( \frac { 1 } { 2 } \right) + \ln 7 } { \ln 7 } \approx 0.644$
В) $\frac { \ln 7 } { \ln \left( \frac { 1 } { 2 } \right) + \ln 7 } \approx 1.553$
C) $\ln \left( \frac { 1 } { 2 } \right) - \ln 7 \approx - 2.639$
D) $\frac { \ln 14 } { \ln 28 } \approx 0.792$