Exponential Functions and Logarithms

This video tutorial is part of an EOC review series focusing on exponential and logarithmic functions. It covers setting up and solving exponential growth and decay problems, solving exponential equations using logarithms and graphs, and converting yearly interest rates to monthly rates. The tutorial includes practical examples and calculator instructions, emphasizing careful handling of percentages and logarithmic calculations.

What is the primary focus of the EOC review on exponential and logarithmic functions?

• Understanding trigonometric identities

• Solving quadratic equations

• Exponential and logarithmic functions

• Linear algebra concepts

Which of the following is NOT a method mentioned for solving exponential problems?

• Using graphs

• Using a calculator

• Using logarithms

• Using calculus

When solving an exponential equation, what is the first step if there is a number being added?

• Add the number to both sides

• Subtract the number from both sides

• Divide both sides by the number

• Multiply both sides by the number

In the equation 2(3^(4x) - 5) = 30, what is the first step to isolate the exponential term?

• Subtract 5 from both sides

• Multiply both sides by 3

• Divide both sides by 2

• Add 5 to both sides

What is the base of the logarithm when rewriting the equation 3^(4x - 5) = 15 in logarithmic form?

• 3

• 2

• 4x - 5

• 15

How can you calculate log base 3 of 15 using a calculator without a log base function?

• Use log(15) / log(3)

• Use log(3) / log(15)

• Use ln(15) / ln(3)

• Use ln(3) / ln(15)

What is the approximate value of log base 3 of 15?

• 2.46

• 1.86

• 3.15

• 4.20

After solving the equation 3^(4x - 5) = 15, what is the next step to find x?

• Subtract 5 from both sides

• Divide both sides by 4

• Add 5 to both sides

• Multiply both sides by 4

What is the final value of x in the equation 3^(4x - 5) = 15?

• 0.86

• -1.86

• 2.86

• 1.86

In the investment problem, what is the initial amount invested?

• $6,000

• $5,000

• $10,000

• $7,000