Solve the Logarithmic Equation Algebraically $$2 \log _ { 2 } ( 0.5 x ) = 23$$

Multiple Choice

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. $$2 \log _ { 2 } ( 0.5 x ) = 23$$

A) $2 \left( 2 ^ { 23 / 2 } \right) \approx 5,792.619$
B) $2 \left( 2 ^ { 23 / 2 } \right) \approx 5,794.619$
C) $2 \left( 2 ^ { 23 / 2 } \right) \approx 5,790.619$
D) $2 \left( 2 ^ { 23 / 2 } \right) \approx 5,791.619$
E) $2 \left( 2 ^ { 23 / 2 } \right) \approx 5,793.619$