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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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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.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2/3

1/3

3/2

1/2