Exploring Properties of Logarithms

This video tutorial covers the properties of logarithms, explaining their role as inverse functions to exponentials. It discusses common and natural logarithms, and demonstrates how to convert between exponential and logarithmic forms. The tutorial also provides examples of evaluating logarithms, emphasizing the importance of understanding bases and exponents.

Logarithms and exponentials are what to each other?

• Multiplicatives

• Additives

• Inverses

• Subtractives

What is the base of a common logarithm?

• 3

• e

• 2

• 10

How do you convert a logarithmic equation to an exponential form?

• Raise the logarithm to the power of the base

• Divide the base by the logarithm

• Raise the base to the power of the logarithm

• Multiply the base with the logarithm

If log base 2 of 8 equals 3, what does 2 raised to the power of 3 equal?

• 8

• 6

• 12

• 10

What does the natural log (ln) use as its base?

• 10

• 1

• 2

• e

If log base 10 of 1000 equals 3, what does 10 to the power of 3 equal?

• 100

• 1000

• 10000

• 1

What is the value of log base 5 of 5?

• 0

• 1

• 25

• 5

What does log base 3 of 81 equal?

• 9

• 3

• 4

• 27

How can you simplify log base 16 of 4?

• 2

• 1/2

• 4

• 1/4

What is the result of the natural log of e cubed?

• 1

• e

• 2

• 3