Solving Exponential Equations with Logarithms

This video tutorial by Kirk Wier covers solving exponential equations using logarithms. It begins with an introduction to the topic, followed by a review of solving equations using common bases. The main focus is on applying logarithms to solve exponential equations, with detailed examples and exercises. The tutorial also includes modeling real-world problems and solving equations using logarithms with the same base. The lesson concludes with a summary of key points.

What is the main topic of Unit 4, Lesson 11?

• Solving exponential equations using logarithms

• Solving quadratic equations

• Solving linear equations

• Solving polynomial equations

Which method is used to solve exponential equations when both sides can be written with the same base?

• Method of factoring

• Method of elimination

• Method of substitution

• Method of common bases

What is the third logarithm law used for in solving exponential equations?

• To divide exponents

• To bring the exponent down as a product

• To subtract exponents

• To add exponents

What is the approximate value of x when solving 5^x = 18 using logarithms?

• 1.80

• 2.50

• 2.00

• 1.50

How do you solve the equation 4^(x+3) = 50 using logarithms?

• Divide both sides by 4

• Take the log of both sides and bring down (x+3)

• Subtract 3 from both sides

• Multiply both sides by 4

What is the initial number of bats in the population modeling problem?

• 100

• 104

• 200

• 150

At what rate is the bat population growing per year?

• 2%

• 5%

• 3%

• 4%

How many years will it take for the bat population to reach 200?

• 22 years

• 30 years

• 25 years

• 20 years

What is the base of the logarithm used to solve 2^x = 5 in terms of logarithms?

• Base 10

• Base 5

• Base 2

• Base e

What is the final answer for x in the equation 5^(x/3) = 4/17 expressed in terms of logarithms?

• log base 5 of (4/17)

• 3 * log base 5 of (4/17)

• log base 2 of (4/17)

• 3 * log base 2 of (4/17)