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Logarithmic Scales - Worksheet 7 - 12th Grade

Medium

Use explicitly stated exponential and logarithmic models and interpret their parameters.

medium: Practice the same exercise types with a fresh numbered set.

18 problems · 20-25 minutes · Skills: logarithms, applications, modeling

About This Worksheet

This medium-level worksheet contains 18 problems designed for 12th Grade students practicing logarithmic scales. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Evaluate functions, solve for variables and use exponential/logarithmic inverses.

  • Use explicitly stated exponential and logarithmic models and interpret their parameters.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 1000, find L.
Solution Steps:
  1. Evaluate the base-ten logarithm of the intensity ratio.
  2. Multiply the result by 10.
Answer: 30 dB
Tip: Check your result using the method in the example before moving to the next question.
1
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10000, find L.
2
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
3
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 1000, find L.
4
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 100, find L.
5
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
6
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 100, find L.
7
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
8
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 100, find L.
9
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
10
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 100, find L.
11
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 1000, find L.
12
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10000, find L.
13
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
14
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 1000, find L.
15
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
16
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 1000, find L.
17
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 10, find L.
18
A logarithmic level is defined by L = 10 log₁₀(I/I₀). If I/I₀ = 1000, find L.

Answer Key

1. 40 dB2. 10 dB3. 30 dB4. 20 dB5. 10 dB6. 20 dB7. 10 dB8. 20 dB9. 10 dB10. 20 dB11. 30 dB12. 40 dB13. 10 dB14. 30 dB15. 10 dB16. 30 dB17. 10 dB18. 30 dB

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Frequently Asked Questions

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What skills does this exponential & logarithmic applications worksheet cover?

This worksheet focuses on logarithms, applications, modeling. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

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How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.