Solve an Exponential Word Problem of Base 2

The video tutorial explains how to solve word problems involving exponential equations with base 2 using logarithms. It begins with a review of solving exponential equations and introduces a problem of doubling a stack of paper to reach the Moon. The tutorial models this problem using an exponential equation and solves it using logarithms, demonstrating that 42 doublings are needed. It also explores exponential growth through a 'pay it forward' example, showing how quickly numbers can grow. The lesson concludes by summarizing the key concepts and emphasizing the rapid nature of exponential growth.

What is the base used in the exponential equations discussed in this lesson?

• Base 5

• Base e

• Base 2

• Base 10

What is the initial thickness of the paper used in the problem about reaching the Moon?

• 10 millimeters

• 0.01 millimeter

• 1 millimeter

• 0.1 millimeter

What is the value of 'b' in the equation used to model the paper doubling problem?

• 10

• 0.1

• 2

• 1

How many times do you need to double the paper to reach the Moon?

• 60 times

• 42 times

• 50 times

• 30 times

In the 'Pay it Forward' example, how many people do the initial three people help?

• Four people each

• One person each

• Three people each

• Two people each

What is the approximate number of weeks required to help three million people in the 'Pay it Forward' example?

• 10 weeks

• 25 weeks

• 15 weeks

• 20 weeks

What mathematical tool is used to solve the exponential equations in both examples?

• Trigonometry

• Algebra

• Geometry

• Logarithms