Condensing logarithmic expressions

Condensing logarithmic expressions

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to simplify a complex logarithmic expression by applying order of operations, rewriting the sum of logarithms as a single logarithm, converting rational exponents to roots, and factoring. The process involves condensing the expression into a single logarithm, demonstrating the use of mathematical properties to simplify expressions efficiently.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the given logarithmic expression?

Convert the logarithm to a different base

Simplify the expression inside the parentheses

Apply the product rule to combine logarithms

Use the quotient rule to divide logarithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression X + 1 * X - 1 be simplified?

As a quotient of squares

As a sum of squares

As a difference of squares

As a product of squares

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the exponent when a logarithm is raised to a power?

It becomes a coefficient

It is subtracted from the base

It is added to the base

It is converted into a root

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the sum of two logarithms be rewritten?

As a difference of logarithms

As a quotient of logarithms

As a sum of exponents

As a product of logarithms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the condensed logarithmic expression?

A single logarithm with a product

A single logarithm with a difference

A single logarithm with a sum

A single logarithm with a quotient

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