Exploring Properties of Logarithms

The video tutorial by Mr. B covers the properties of logarithms, starting with a review of exponent rules. It introduces the product property of logarithms, demonstrating how multiplication inside a logarithm turns into addition outside. The tutorial provides examples to illustrate these concepts and explores the effect of exponents inside logarithms. It also covers the quotient property, showing how division inside a logarithm becomes subtraction outside. The video concludes with a summary of these properties, emphasizing their applications and importance in mathematical problem-solving.

What happens when you multiply bases with exponents?

• You subtract the exponents

• No change to the exponents

• You add the exponents

• You divide the exponents

Tags

CCSS.8.EE.A.1

What is the result of log(100) + log(10)?

• log(110)

• log(1000)

• log(10)

• log(100)

If you have log base 2 of 8 times 4, what is the equivalent expression?

• log base 2 of 32

• log base 2 of 12

• log base 2 of 4

• log base 2 of 8

How does the product property of logarithms work?

• log(a) + log(b) = log(a * b)

• log(a) * log(b) = log(a * b)

• log(a) - log(b) = log(a * b)

• log(a) / log(b) = log(a * b)

What is the logarithmic form of a multiplication inside the log?

• It turns into subtraction outside the log

• It turns into addition outside the log

• It turns into division outside the log

• It remains as multiplication

What does the exponent inside a logarithm become when expanded?

• Remains inside the logarithm

• A subtraction on the outside

• A coefficient on the outside

• An addition on the outside

What is the result of log base 10 of 8 to the fourth power?

• 4 * log base 10 of 8

• 8 * log base 10 of 4

• log base 10 of 32

• log base 10 of 2

What does the exponent on the inside of a log become when expanded?

• A division on the outside

• An addition on the outside

• A multiplication on the outside

• It disappears

How does division inside a logarithm affect its expansion?

• It turns into multiplication outside the log

• It remains as division

• It turns into addition outside the log

• It turns into subtraction outside the log

What is the value of log base Z of Z?

• 1

• 0

• Undefined

• Z