Use Logarithms to Solve the Equation $6 ^ { - 2 x } = 40$

question 40

Multiple Choice

Use logarithms to solve the equation. Round your answer to four decimal places. $6 ^ { - 2 x } = 40$

• A) \(x = - 0.8333\)
• B) \(x = - 1.8493\)
• C) \(x = 0.8333\)
• D) \(x = 1.0294\)
• E) \(x = - 1.0294\)

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Definitions:

Regional Banks

Financial institutions that operate in a specific region of a country, typically offering a range of banking services to local communities.

Money Supply

The total amount of monetary assets available in an economy at any given time, including cash, bank deposits, and other liquid assets.

Time Deposits

Banking or financial products that require the depositor to leave funds untouched for a pre-specified period of time in exchange for a higher interest rate.

Money Multiplier

The ratio of the change in the total money supply to the change in the monetary base, indicating how an initial deposit can lead to a greater final increase in the total money supply.