Understanding Logarithms

What is the base in the logarithm log base 2 of 16?

• 16

• 2

• 8

• 4

How do you solve log base 2 of 16 without a calculator?

• By dividing 16 by 2

• By multiplying 16 by 2

• By changing 16 to 2

• By adding an exponent to 2 to make it equal to 16

What is the implied base when no base is shown in a logarithm?

• 1

• 10

• 5

• 2

How do you solve log of 1,000 when no base is shown?

• Assume base 1 and solve

• Assume base 5 and solve

• Assume base 2 and solve

• Assume base 10 and solve

What exponent is needed to solve log base 10 of 1,000?

• 5

• 4

• 3

• 2

In the example log base 4 of 1/16, what is the base?

• 4

• 1

• 2

• 16

How can a positive exponent in the denominator be rewritten?

• As a negative exponent in the numerator

• As a zero exponent

• As a positive exponent in the numerator

• As a fraction

What is the solution to log base 4 of 1/16?

• 2

• -2

• 4

• -4

What is the exponent needed to solve log base 4 of 16?

• 2

• 4

• 5

• 3

What additional resources does Chris offer for learning?

• Recorded lectures

• Live tutoring and homework solutions

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• Textbooks