Solve the Logarithmic Equation Algebraically $2 \log _ { 3 } ( 0.5 x ) = 5$

Multiple Choice

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.​ $2 \log _ { 3 } ( 0.5 x ) = 5$ ​

A) $2 \left( 3 ^ { 5 / 2 } \right) \approx 33.177$
B) $2 \left( 3 ^ { 5 / 2 } \right) \approx 30.177$
C) $2 \left( 3 ^ { 5 / 2 } \right) \approx 31.177$
D) $2 \left( 3 ^ { 5 / 2 } \right) \approx 29.177$
E) $2 \left( 3 ^ { 5 / 2 } \right) \approx 32.177$