Logarithmic scale

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/logarithmic-scale

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the mathematical foundation?Derived from the mathematical concept of logarithms, which relate exponentiation and multiplication
2. Why do scientists use logarithmic scales?They help us compare things that differ by millions or billions, like the brightness of stars or the energy of radio waves. Without them, tiny things would disappear or the picture would be too huge.
3. How does a logarithmic scale turn multiplication into addition?Because a logarithm turns a product into a sum. On a log scale, multiplying two numbers is like adding their positions on the ruler.

Order of Magnitude: A classification of the size of a number, typically based on powers of 10.
Semi-logarithmic Plot: A graph where one axis uses a logarithmic scale and the other uses a linear scale.
Exponentiation: The mathematical operation of raising a number to a power.