Lesson 11.2 - Solving Exponential Equations Using Logarithms

What is the initial form of the equation given in the video?

• T = (log10(7)+3)/2

• 2T-3 = log10(7)

• log10(7) = 2T-3

• 10^(2T-3) = 7

What does the equation 10^(2T-3) = 7 imply about the relationship between 10 and 7?

• 10 times (2T-3) equals 7

• 10 is raised to the power (2T-3) to equal 7

• 7 times (2T-3) equals 10

• 7 is raised to the power (2T-3) to equal 10

What does converting the equation into logarithmic form allow us to do?

• Multiply both sides by 2

• Simplify the equation

• Isolate the variable T

• Eliminate the variable T

What base is used for the logarithm in the equation?

• Base 3

• Base 7

• Base 2

• Base 10

What is the result of adding 3 to both sides of the logarithmic equation?

• 2T = log10(7) + 3

• log10(10) = 2T - 3

• log10(7) = 2T + 3

• log10(7) + 3 = 2T

What mathematical operation is performed after converting to logarithmic form?

• Subtraction

• Division

• Addition

• Multiplication

How do we solve for T after simplifying the equation?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 3 from both sides

• Add 2 to both sides

What is the purpose of dividing the entire equation by 2?

• To isolate T

• To eliminate T

• To multiply T

• To subtract from T

What is the final expression for T as solved in the video?

• (log10(7) + 3) * 2

• 3 / (log10(7) + 2)

• 2 / (log10(7) + 3)

• (log10(7) + 3) / 2

How is the correctness of the solution verified in the video?

• By using a calculator

• By checking the original equation

• By consulting a textbook

• By checking the answer box