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Solving Logarithmic Equations and Word Problems

Solving Logarithmic Equations and Word Problems

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Medium

•
CCSS
HSF-IF.C.8B, HSF.LE.B.5, HSF.BF.A.2

+4

Standards-aligned

Created by

Olivia Brooks

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.8B
,
CCSS.HSF.LE.B.5
,
CCSS.HSF.BF.A.2
CCSS.HSA.REI.A.1
,
CCSS.5.NBT.B.7
,
CCSS.7.EE.B.4A
,
CCSS.HSF.LE.A.4
,
The video tutorial covers the application of logarithms in solving real-world word problems, specifically focusing on a lumber company's tree harvesting plan. It explains the decay formula, how to solve exponential equations using logarithms, and how to convert decimal years into years and months. The tutorial concludes with a discussion on test expectations and encourages students to ask questions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial amount of trees the lumber company plans to harvest?

1.2 million trees

600,000 trees

7% of the trees

Half of the trees

Tags

CCSS.HSF.LE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does harvesting 7% of the trees each year represent?

Doubt

Growth

Decay

Stability

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'R' in the decay formula represent?

The initial amount

The rate of growth

The rate of decay

The time in years

Tags

CCSS.HSF-IF.C.8B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the base of the exponential equation determined?

1 minus the rate of decay

Years multiplied by the rate

Total trees divided by years

Initial amount divided by 2

Tags

CCSS.HSF-IF.C.8B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to isolate the exponential part of the equation?

Addition

Multiplication

Division

Subtraction

Tags

CCSS.HSA.REI.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using logarithms in this problem?

To find the percentage of trees harvested

To calculate the rate of growth

To solve the exponential equation

To determine the initial amount of trees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does dividing 600,000 by 1.2 million simplify to?

0.7

1.2

600,000

0.5

Tags

CCSS.5.NBT.B.7

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