Expanding a logarithmic expression when 2 terms are separated by multiplication

The video tutorial explains the concept of logarithms, focusing on separating expressions using multiplication and addition. It introduces the exponent rule for logarithms, demonstrating how to expand expressions. The tutorial also covers evaluating logarithms by rewriting them in exponential form, emphasizing the relationship between bases and powers. The final example shows how to simplify a logarithmic expression to find the answer.

What is the rule for separating a logarithm of a product into a sum of logarithms?

• Log base B of M times N equals log base B of M plus log base B of N

• Log base B of M times N equals log base B of M minus log base B of N

• Log base B of M times N equals log base B of M times log base B of N

• Log base B of M times N equals log base B of M divided by log base B of N

How can log base three of three X be expanded using the multiplication property?

• Log base three of three divided by log base three of X

• Log base three of three minus log base three of X

• Log base three of three plus log base three of X

• Log base three of three times log base three of X

What is the final answer when expanding log base three of three X?

• Log base three of X

• Log base three of three

• 3 plus log base three of X

• 1 plus log base three of X

How do you convert a logarithmic expression to exponential form?

• By raising the base to the power of the logarithm

• By multiplying the base by the logarithm

• By dividing the base by the logarithm

• By subtracting the logarithm from the base

What does a logarithm state in terms of base and power?

• The base subtracted by a certain power equals the number

• The base multiplied by a certain power equals the number

• The base divided by a certain power equals the number

• The base raised to a certain power equals the number