Exploring Fancier Logarithm Expressions

The video tutorial provides a comprehensive review and practice of logarithms, starting with basic examples like log base 2 of 8, and advancing to more complex calculations such as log base 8 of 2, log base 2 of 1/8, and log base 8 of 1/2. The tutorial explains the concept of exponents and how they relate to logarithms, including the use of negative exponents and reciprocals. Each example is broken down step-by-step to enhance understanding.

What is the result of log base 2 of 8?

• 4

• 1/3

• 3

• 2

What exponent must 8 be raised to in order to get 2?

• 2

• -1/3

• 1/2

• 1/3

What does log base 8 of 2 evaluate to?

• 1/2

• 3

• -1/3

• 1/3

If 2 to the third power equals 8, what is 8 to the one-third power?

• 4

• 1/2

• 2

• 3

What is the value of log base 2 of 1/8?

• 1/3

• 3

• -1/3

• -3

How is 2 to the negative 3rd power expressed as a fraction?

• 1/8

• 1/6

• 3/8

• 2/8

What is the reciprocal of 8 expressed as a power of 2?

• 2 to the power of -1/3

• 2 to the power of 1/3

• 2 to the power of 3

• 2 to the power of -3

What does log base 8 of 1/2 equal?

• 1/2

• -1/2

• -1/3

• 1/3

What exponent do you raise 8 to get 1/2?

• -1/3

• 1/2

• -1/2

• -1

What is the result of raising 8 to the negative one-third power?

• 1/3

• 2

• 4

• 1/2