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

question 37

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) \(2 \left( 2 ^ { 23 / 2 } \right) \approx 5,793.619\)

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Account Value

The total worth of a financial account, considering all assets and liabilities within the account.

Interest Rate

The percentage of a sum of money charged for its use, typically expressed annually.

Compound Interest

Interest earned on the base principal and on the interest accumulated during previous periods for both deposits and loans.

Simple Interest

Interest calculated only on the principal amount, or the initial amount of money borrowed or invested, not on the interest accumulated over time.