Exploring the Basics of Logarithms

The video tutorial introduces the concept of logarithms, explaining their relationship with exponents. It covers the notation used in logarithms and provides examples to evaluate logarithmic expressions. The tutorial also explores the properties and usefulness of logarithms, including advanced examples and special cases, such as logarithms with base 100.

What is the result of raising 2 to the power of 4?

• 32

• 16

• 8

• 64

What does the logarithm base 2 of 16 equal?

• 8

• 4

• 16

• 2

What power must 3 be raised to in order to get 81?

• 4

• 3

• 2

• 5

How is the logarithm base 3 of 81 expressed?

• log3(9)

• log3(27)

• log3(81)

• log3(243)

What is the result of 3 to the fourth power?

• 108

• 81

• 27

• 54

What is the value of log base 6 of 216?

• 2

• 3

• 4

• 6

How many times must 2 be multiplied by itself to get 64?

• 5

• 7

• 4

• 6

What is the logarithmic expression for finding the power to raise 6 to get 216?

• log6(216)

• log6(432)

• log6(72)

• log6(36)

What does log base 100 of 1 equal?

• -1

• 0

• 100

• 1

Which statement is true for any number (except 0) raised to the power of 0?

• It equals 1

• It equals the base

• It is undefined

• It equals 0