7-6 Solving Natural Log Equations

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7-6 Solving Natural Log Equations Unit 2 7-6 Solving Natural Log Equations

Natural Logs. Define: Natural Logarithm – a logarithm with base “e” You solve natural logs the same way as any other log. SOLVE

Solving exponential equations with base “e”

A spacecraft can only attain a stable orbit 300 km above the earth if it reaches a velocity of 7.7 km/s. Suppose a rocket has a mass ratio (R) of 25, a firing time (t) of 100 s and an exhaust velocity (c) of 2.8 km/s. Use the formula below to find if the spacecraft attain a stable orbit 300 km above the earth’s surface? The spacecraft can attain a stable orbit 300km above earth, since the max velocity 8.0km/s is greater than the 7.7km/s needed.

Practice Pg 481 # 11-13, 20-22, 31-35 odd, 38, 39