Rewriting a logarithmic expression as one logarithm by condensing

Rewriting a logarithmic expression as one logarithm by condensing

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to undo the power rule in logarithms, apply the power rule to logarithmic expressions, and use the quotient rule to simplify these expressions. The final step involves rewriting the expression as a single logarithm.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in undoing the power rule for logarithms?

Use the power rule

Apply the quotient rule

Multiply the logarithms

Divide the logarithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule allows you to combine two logarithms into one?

Sum rule

Product rule

Quotient rule

Power rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express log base X to the third minus log 5 using a single logarithm?

log(X^3 + 5)

log(X^3 * 5)

log(X^3 / 5)

log(X^3 - 5)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the expression after applying the quotient rule?

log(X^3 - 5)

log(X^3 / 5)

log(X^3 + 5)

log(X^3 * 5)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the quotient rule in logarithms?

To combine two logarithms into one

To multiply two logarithms

To subtract two logarithms

To add two logarithms