Learning to Evaluate a Logarithm Without a Calculator

The video tutorial explains how to evaluate the logarithm of the fourth root of 8 using properties of logarithms. It covers key properties such as log base B of B raised to a power and demonstrates how to rewrite expressions using these properties. The tutorial provides multiple methods to solve the problem, including rewriting the expression and using the power rule of logarithms. The final solution is derived by applying these techniques, resulting in a value of 3/4.

What is the value of log base B of B raised to the B?

• 0

• 1

• B

• X

How can the fourth root of a number be expressed using exponents?

• As the number raised to the 1/4 power

• As the number raised to the 1/3 power

• As the number raised to the 1/2 power

• As the number raised to the 1/5 power

Which property of logarithms allows you to move the exponent in front of the log?

• Product Rule

• Change of Base Formula

• Quotient Rule

• Power Rule

What is 8 expressed as a power of 2?

• 2^5

• 2^4

• 2^3

• 2^2

What is the final evaluated value of log base two of the fourth root of 8?

• 3/4

• 1/3

• 1

• 1/2