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Learn the steps to condense a logarithmic expression

Learn the steps to condense a logarithmic expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial guides students through the process of condensing multiple algorithms into a single logarithm. It emphasizes the application of the power rule to rewrite logarithms and demonstrates how to transform the addition of logarithms into a product form. The tutorial concludes with a final answer that avoids the use of rational powers.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the homework task described in the video?

Expanding multiple algorithms

Condensing multiple algorithms into one

Solving equations

Graphing functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a logarithm with a coefficient be rewritten according to the power rule?

By dividing the coefficient by the base

By using the coefficient as an exponent

As a product of two logarithms

As a sum of two logarithms

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you have the addition of two logarithms?

They can be rewritten as a single logarithm using multiplication

They are converted into exponential form

They remain as two separate logarithms

They can be rewritten as a single logarithm using division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the expression log(X^3) + log(Y^(1/3))?

log(X^3 / Y^(1/3))

log(X^3 - Y^(1/3))

log(X^3 * Y^(1/3))

log(X^3 + Y^(1/3))

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it preferable to avoid using rational powers in the final answer?

They are not commonly used

They are more difficult to calculate

They are less accurate

They are harder to interpret

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