Algebra 2 - Applying the quotient property of logarithms to solve an equation

The video tutorial explains how to solve a logarithmic equation by applying properties of logarithms, converting it to exponential form, and then solving the resulting quadratic equation. The process involves isolating terms, using the quotient property of logarithms, and applying cross multiplication to solve for the variable. The tutorial emphasizes the importance of understanding logarithmic and exponential relationships and provides a step-by-step approach to solving complex equations.

Why can't the equality of logarithms be directly applied in the given problem?

• Because the logarithms are not on the same side.

• Because the logarithms are not in the same form.

• Because there is a constant term present.

• Because the bases of the logarithms are different.

What property of logarithms is used to combine two logarithms into one?

• Change of base property

• Quotient property

• Power property

• Product property

What is the result of converting the logarithmic equation into exponential form?

• C + 1 = 10^2

• C + 1 / C^2 - 1 = 10^-2

• C^2 - 1 = 10^2

• C^2 - 1 / C + 1 = 10^-2

What mathematical operation is applied after converting the equation to a proportion?

• Division

• Cross multiplication

• Subtraction

• Addition

What is the first step in solving the quadratic equation obtained?

• Apply the quadratic formula

• Set the equation to zero

• Isolate the variable C

• Complete the square

Which method is used to solve the quadratic equation in the problem?

• Using the quadratic formula

• Factoring

• Completing the square

• Graphing

What are the possible values of C after solving the quadratic equation?

• C = 0 or C = 1

• C = 101 or C = -1

• C = 101 or C = 1

• C = 100 or C = -1