Learn how to condense natural logs separated by subtraction

Learn how to condense natural logs separated by subtraction

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses logarithms, starting with an introduction and context. It then moves on to simplifying logarithmic expressions, specifically focusing on the example of simplifying ln(5^2) - ln(3) to ln(25/3) using the quotient rule. The tutorial emphasizes the importance of understanding the rules of logarithms and assumes the base E for natural logarithms.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when dealing with powers in logarithms?

Multiply the powers

Bring the power in front of the logarithm

Add the powers together

Ignore the powers

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying 5 squared?

25

20

15

10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you combine two logarithms that are being subtracted?

By multiplying them

By adding them

By using the product rule

By using the quotient rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression when combining ln(25) and ln(3) using the quotient rule?

ln(3 / 25)

ln(25 / 3)

ln(25 * 3)

ln(25 + 3)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What base is assumed in natural logarithms if not specified?

Base 2

Base 10

Base 5

Base e