Logarithm Properties and Operations

In this video, Professor Eliane introduces the properties of logarithms, including the product, quotient, and power properties. She provides a detailed explanation of each property and demonstrates how to apply them through an example problem. The video concludes with a final calculation using given values to reinforce the concepts discussed.

What is the basic idea behind the property of logarithm of a product?

• Subtracting the logarithms

• Dividing the logarithms

• Multiplying the logarithms

• Adding the logarithms

How do you handle the logarithm of a quotient?

• Subtract the logarithms

• Multiply the logarithms

• Add the logarithms

• Divide the logarithms

When dealing with the logarithm of a power, what happens to the exponent?

• It is added to the logarithm

• It is divided by the logarithm

• It is multiplied by the logarithm

• It is subtracted from the logarithm

In the example problem, what is the first step when dealing with a quotient inside a logarithm?

• Add the logarithms

• Subtract the logarithms

• Multiply the logarithms

• Divide the logarithms

How is the square root of a variable expressed as a power?

• Variable raised to 1/3

• Variable raised to 1/2

• Variable raised to 2

• Variable raised to 1

What is the next step after rewriting the square root as a power in the example problem?

• Divide the exponent by the logarithm

• Multiply the exponent by the logarithm

• Subtract the logarithms

• Add the logarithms

Given log base a of B equals 8, what is 3 times log base a of B?

• 16

• 24

• 32

• 8

Given log base a of C equals 6, what is 2 times log base a of C?

• 12

• 6

• 18

• 24

In the final example, what is the result of adding 3 times log base a of B and 2 times log base a of C?

• 36

• 42

• 30

• 24

Tags

CCSS.6.EE.A.2C

What is the final value obtained in the last example problem?

• 36

• 30

• 32

• 34

Tags

CCSS.6.EE.A.2C