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Logarithmic Modeling Worksheet

Explore logarithmic functions and their applications in modeling real-world phenomena at a Grade 9 level.

Grade 9 Math LogarithmsLogarithmic Modeling
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.LE.A.4CCSS.MATH.CONTENT.HSF.BF.B.3

Topics

LogarithmsModelingAlgebraFunctionsGrade 9 Math
8 sections · Free to use · Printable
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Logarithmic Modeling

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Which of the following equations represents a logarithmic function?

a

y = 2x + 3

b

y = 2^x

c

y = log₂(x)

d

y = x² + 2

2. The Richter scale, used to measure earthquake intensity, is a logarithmic scale. An earthquake with a magnitude of 7 is how many times more intense than an earthquake with a magnitude of 5?

a

2 times

b

10 times

c

100 times

d

1000 times

1. The inverse of an exponential function is a   function.

2. The pH scale is an example of a   scale used in chemistry.

1. Explain how logarithmic functions are used to model population growth in certain scenarios.

Graph the function y = log₂(x).

0246810246810

1. The domain of a logarithmic function is all real numbers.

T

True

F

False

2. Logarithmic functions have a vertical asymptote.

T

True

F

False

1. The formula for the loudness of a sound in decibels (dB) is L = 10 log(I/I₀), where I is the intensity of the sound and I₀ is the threshold of human hearing (10⁻¹² W/m²). If a sound has an intensity of 10⁻⁵ W/m², what is its loudness in decibels?