Solving Logarithmic Equations with Log Properties

What operation is the opposite of logarithms?

• Addition

• Subtraction

• Multiplication

• Exponentials

What is the base of a common log if not specified?

• e

• 2

• 0

• 10

What is implied if a logarithm's base is not written?

• Base e

• Base 2

• Base 0

• Base 10

What should you do after solving a logarithmic equation?

• Simplify the equation

• Check your solution

• Plot the solution on a graph

• Move on to the next problem

What property allows you to set the insides of logs equal if their bases are the same?

• Power Property

• Quotient Property

• Product Property

• Equality Property

What does the product property of logarithms state?

• The sum of two logs is the log of their product

• The difference of two logs is the log of their quotient

• The sum of two logs is the log of their quotient

• The difference of two logs is the log of their product

What property do you use when you have a number multiplied in front of a log?

• Quotient Property

• Product Property

• Power Property

• Equality Property

Which property is used to bring a coefficient inside the log as a power?

• Equality Property

• Power Property

• Product Property

• Quotient Property

What does the quotient property of logarithms allow you to do?

• Combine two logs into the log of their sum

• Combine two logs into the log of their product

• Rewrite one log subtracted from another as a single log of a quotient

• Rewrite one log added to another as a single log of a quotient

What must you always remember to do with your solutions in logarithmic equations?

• Simplify them

• Convert them to exponential form

• Check them

• Graph them