Choose the One Alternative That Best Completes the Statement or Answers

question 407

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
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) \(\frac { \ln \left( \frac { 1 } { 2 } \right) + \ln 7 } { \ln 7 } \approx 0.644\)
• B) \(\frac { \ln 7 } { \ln \left( \frac { 1 } { 2 } \right) + \ln 7 } \approx 1.553\)
• C) \(\ln \left( \frac { 1 } { 2 } \right) - \ln 7 \approx - 2.639\)
• D) \(\frac { \ln 14 } { \ln 28 } \approx 0.792\)