Tutorial - How To Evaluate a Logarithm To The Third Root of a Number

The video tutorial explains how to evaluate a logarithmic expression by rewriting it as a rational exponent. The instructor introduces the problem, explains the concept of rational exponents, and demonstrates how to rewrite and evaluate the expression using logarithmic properties. The tutorial concludes with a summary of the steps taken to solve the problem.

What is the first step in rewriting a radical expression as a rational exponent?

• Convert the exponent to a fraction

• Identify the base and the exponent

• Apply logarithmic properties

• Determine the root and power of the radicand

In a radical expression, if M is the root and B is the power, how can it be expressed as a rational exponent?

• B / M

• B + M

• M / B

• M * B

What is the rational exponent form of the expression 'two to the one third power'?

• 2^3

• 2^(1/3)

• 3^2

• 3^(1/2)

Which property of logarithms is used to simplify log base B of B raised to the X?

• Logarithm of a product

• Logarithm of a base

• Logarithm of a quotient

• Logarithm of a power

What is the final evaluated result of the expression discussed in the video?

• 2/3

• 1/3

• 3/2

• 1/2