Logarithm Properties and Evaluations

Logarithm Properties and Evaluations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
The video tutorial explains how to evaluate a logarithmic expression using given values for natural logs of variables X, Y, and Z. It covers the application of logarithm properties, such as the power and quotient properties, to expand and simplify the expression. The tutorial emphasizes the importance of correctly applying these properties, especially when dealing with exponents. Finally, it demonstrates the substitution of given values to evaluate the expression, resulting in a final answer of negative 125.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the given values for natural log X, Y, and Z?

ln X = 2, ln Y = 5, ln Z = 3

ln X = 5, ln Y = 3, ln Z = 2

ln X = 3, ln Y = 2, ln Z = 5

ln X = 2, ln Y = 3, ln Z = 5

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of ln Z in the given problem?

2

3

1

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of logarithms allows you to move an exponent in front of the log?

Product Property

Power Property

Quotient Property

Change of Base Property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression ln(Z^-1) be rewritten using the power property?

ln Z + 1

ln Z^-1

1/ln Z

-1 * ln Z

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of expanding ln(X/Y)^-1 using the quotient property?

-ln X - ln Y

ln X + ln Y

-ln X + ln Y

ln X - ln Y

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in expanding the expression ln(X/Y)^-1?

Simplify to ln(XY)

Directly substitute values

Use the quotient property

Apply the power property

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of logarithms is used to expand ln(XY)?

Quotient Property

Product Property

Power Property

Change of Base Property

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