Using the equality of logarithms to solve an equation

The video tutorial explains how to apply properties of logarithms, specifically focusing on the power rule. It demonstrates how to rewrite a logarithmic expression by using the power rule and solve logarithmic equations by equating them when they have the same base. The tutorial concludes with solving for a variable by taking the cube root and addresses any questions.

What property of logarithms allows you to rewrite a multiplication of a number and a logarithm as an exponent inside the logarithm?

• Change of Base Formula

• Power Rule

• Quotient Rule

• Product Rule

When two logarithms with the same base are equal, what can be inferred about their arguments?

• The arguments are negative

• The arguments are equal

• The arguments are zero

• The arguments are reciprocals

How do you solve for X in the equation 27 = X^3?

• Take the cube root of both sides

• Square both sides

• Multiply both sides by 3

• Subtract 3 from both sides

What is the result of taking the cube root of 27?

• 27

• 3

• 9

• 1

In the context of the video, what was the purpose of solving the equation 27 = X^3?

• To show how to change the base of a logarithm

• To illustrate solving logarithmic equations

• To explain the concept of logarithmic differentiation

• To demonstrate the use of the product rule