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

question 138

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) \(2 \left( 3 ^ { 5 / 2 } \right) \approx 32.177\)

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Definitions:

Organic Product

A compound primarily made of carbon atoms obtained as a result of an organic reaction.

Reaction Structure

The arrangement and connectivity of atoms within the products and reactants of a chemical reaction.

Reaction Structure

A diagram or representation that shows how the atoms or molecules in a chemical reaction are rearranged to form products.

Organic Product

A compound containing carbon that is produced as a result of an organic chemical reaction.