Using Properties of Logs to Evaluate Simple Logarithms

The video tutorial explains the concept of logarithms, emphasizing their role as exponents. It covers natural logarithms, highlighting the base 'e', and discusses various properties of logarithms with examples. The tutorial also addresses handling negative exponents and fractions in logarithms, and concludes with evaluating logarithms involving square roots.

What is the main concept of a logarithm?

• A logarithm is a type of multiplication.

• A logarithm is an exponent.

• A logarithm is a type of root.

• A logarithm is a type of fraction.

What is the base of a natural logarithm?

• 5

• 10

• 2

• e

If you have an exponent inside a logarithm, what can you do with it?

• Bring it in front of the logarithm.

• Multiply it by the base.

• Ignore it.

• Divide it by the base.

What is the result of ln(e^3)?

• 1

• 3

• 0

• e

How can you rewrite 1/e as a power of e?

• e^2

• e^-1

• e^0

• e^1

How can you express the square root of 5 as an exponent?

• 5^-1

• 5^1

• 5^0.5

• 5^2

What is the result of log base 5 of the square root of 5?

• 5

• 1

• 0.5

• 2