Solve the Exponential Equation Algebraically $e ^ { 2 x } - 5 e ^ { x } - 6 = 0$

question 2

Multiple Choice

Solve the exponential equation algebraically. Approximate the result to three decimal places.
$e ^ { 2 x } - 5 e ^ { x } - 6 = 0$

• A)\(\ln 6 \approx 3.792\)
• B) \(\ln 6 \approx 2.792\)
• C) \(\ln 6 \approx 0.792\)
• D) \(\ln 6 \approx - 0.208\)
• E) \(\ln 6 \approx 1.792\)

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Definitions:

Price Level

A general measure of the cost of goods and services within an economy or specific market at a given time.

Real GDP

The total value of all goods and services produced within a country in a year, adjusted for inflation, reflecting the real purchasing power.

Aggregate Demand

The cumulative requests for goods and services in an economy, aimed at a fixed price level within a set timeline.

Long-Run Effect

The impact of economic policies or events that become apparent and have a sustained influence over an extended period.