Condensing a logarithmic expression with parenthesis

Condensing a logarithmic expression with parenthesis

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify the subtraction of two logarithms by using the quotient rule. It demonstrates the process of rewriting the expression as a single logarithm and further simplifies it by dividing fractions. The final result is a simplified logarithmic expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of condensing the expression log(3) - log(4) using the quotient rule?

log(7)

log(4/3)

log(12)

log(3/4)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying the quotient rule to log(3/4) - log(2), what is the resulting expression?

log(3/4 * 2)

log(3/4 / 2)

log(3/4 + 2)

log(2 / 3/4)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the expression 3/4 divided by 2?

Multiply 3/4 by 2

Add 3/4 and 2

Divide 3/4 by 2

Multiply 3/4 by 1/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of log(3/4 / 2)?

log(4/3)

log(3/2)

log(8/3)

log(3/8)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final answer after simplifying the expression log(3/4 / 2)?

log(3/2)

log(4/3)

log(3/8)

log(8/3)