Learn basics for learning to CONDENSING a logarithmic expression

Learn basics for learning to CONDENSING a logarithmic expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to condense multiple logarithms into a single logarithm. It begins by outlining the goal of rewriting expressions and then demonstrates the process step-by-step. The example used involves rewriting log base 5 of 7 * 3 X into log base 5 of 21 X. The tutorial concludes by discussing the reverse process of expanding a single logarithm back into multiple logarithms.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when condensing multiple logarithms?

To expand them into separate terms

To rewrite them as a single logarithm

To eliminate them entirely

To change their base

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is the result of simplifying log base 5 of 7 * 3 X?

log base 5 of 10 X

log base 5 of 21 X

log base 5 of 14 X

log base 5 of 35 X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of 7 and 3 in the example provided?

14

10

35

21

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reverse process of condensing logarithms?

Eliminating the logarithm

Changing the base of the logarithm

Multiplying the logarithm by a constant

Expanding a single logarithm into multiple terms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When reversing the process, what is done with multiple logarithms?

They are divided into separate terms

They are rewritten into a single expression

They are combined into a single term

They are converted into exponential form