Understanding Logarithms

What is the primary relationship between logarithms and exponents?

• Logarithms are unrelated to exponents.

• Logarithms are a method to handle exponents.

• Logarithms are a type of multiplication.

• Logarithms are a way to simplify division.

In logarithmic notation, what is the term for the number that is raised to a power?

• Argument

• Coefficient

• Base

• Exponent

How do you convert from logarithmic notation to exponential notation?

• Multiply the base by the argument.

• Divide the base by the exponent.

• Raise the base to the power of the argument.

• Raise the base to the power of the exponent.

What is the result of log base 2 of 8?

• 2

• 3

• 4

• 5

If log base 3 of 1/3 equals -1, what does this imply in exponential form?

• 3 raised to 2 equals 1/3

• 3 raised to 0 equals 1/3

• 3 raised to 1 equals 1/3

• 3 raised to -1 equals 1/3

Why is log base 3 of 0 undefined?

• Because 3 raised to any real number cannot be zero.

• Because 3 raised to zero is undefined.

• Because zero is not a valid base.

• Because zero is not a valid exponent.

What is a common logarithm?

• A logarithm with base 2.

• A logarithm with base 10.

• A logarithm with base e.

• A logarithm with base 1.

What is the special notation for a natural logarithm?

• lg

• ln

• log

• le

Using a calculator, what does the log button typically represent?

• Logarithm with base 5

• Logarithm with base e

• Logarithm with base 10

• Logarithm with base 2

What is the approximate value of the natural log of 5 using a calculator?

• 3.1415

• 0.69897

• 2.3026

• 1.6094