Solve Logarithmic Equation by Exponentiating

The video tutorial explains the concept of inverse operations, focusing on exponentiation and logarithms. It begins with basic arithmetic operations and progresses to more complex topics like exponential and logarithmic equations. The tutorial demonstrates how to solve equations using logarithms and exponentiation, emphasizing the relationship between these operations. Key examples illustrate the process of taking logarithms and exponentiating both sides of an equation to find solutions.

What is the inverse operation of addition?

• Multiplication

• Exponentiation

• Division

• Subtraction

How can you express the equation 3^2 = 9 in logarithmic form?

• log base 3 of 9 = 2

• log base 9 of 3 = 2

• log base 2 of 9 = 3

• log base 3 of 2 = 9

What is the purpose of taking the logarithm of both sides of an equation?

• To solve for a variable in the exponent

• To simplify the equation

• To eliminate the base

• To convert the equation to exponential form

What does it mean to exponentiate both sides of an equation?

• To add a constant to both sides

• To multiply both sides by a constant

• To divide both sides by a variable

• To raise both sides to a power with a specific base

When should you exponentiate both sides of an equation?

• When converting to logarithmic form

• When simplifying a polynomial

• When solving for a variable inside a logarithm

• When solving for a variable in the exponent