Understanding Logarithmic Equations

The video tutorial explains how to solve an equation by taking the common logarithm of both sides. It demonstrates the application of the power property of logarithms and sets the right side of the equation to zero. The tutorial then factors the equation and evaluates the solutions, concluding that the only solution is x equals one.

What is the first step in solving the given equation?

• Adding 1 to both sides

• Multiplying both sides by 5

• Taking the common logarithm of both sides

• Dividing both sides by X

Which property of logarithms is applied after taking the common log of both sides?

• Change of Base Property

• Product Property

• Power Property

• Quotient Property

What operation is performed to set the right side of the equation to zero?

• Multiplying both sides by log X

• Dividing both sides by log X

• Subtracting log X from both sides

• Adding log X to both sides

What is factored out from the left side of the equation?

• log 5

• 1

• X

• log X

What is the equivalent exponential equation for log x equals zero?

• 10 to the power of 1 equals X

• 10 to the power of 0 equals X

• X to the power of 0 equals 10

• X to the power of 10 equals 0

Why does the factor log five minus one not provide a solution?

• Because log five is greater than one

• Because log five does not equal one

• Because log five is less than one

• Because log five equals one