Understanding Common Logarithms

The video tutorial explains how to evaluate common logarithms without using a calculator. It begins with an introduction to common logarithms and demonstrates how to evaluate log 10,000 by converting it into an exponential equation. The tutorial then covers evaluating logarithms of fractions, explaining the use of negative exponents. Finally, it introduces the need for calculators when dealing with more complex logarithms that cannot be expressed as powers of 10.

What is the base of a common logarithm?

• 2

• e

• 10

• 100

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

• By adding the base to the exponent

• By setting the base to the power of the exponent

• By dividing the number by the base

• By multiplying the base and the number

What is the value of log 10,000?

• 2

• 5

• 3

• 4

How can you quickly determine the exponent when the number is a power of 10?

• By dividing by 10

• By multiplying by 10

• By counting the number of zeros

• By counting the number of digits

What is the value of log 1/1,000?

• -4

• -3

• -2

• -1

What happens to the exponent when you move a term across the fraction bar?

• It doubles

• It becomes negative

• It remains the same

• It becomes positive

What is the base of the exponential equation for log 1/1,000?

• 1,000

• 1

• 10

• 100

When is a calculator necessary for evaluating common logarithms?

• When the number is a power of 10

• When the number is a fraction

• When the number cannot be expressed as 10 to a power

• When the number is negative

What is the common logarithm of 1?

• -1

• 1

• 10

• 0

What is the result of log 100?

• 1

• 2

• 3

• 4