Logarithm

High school (ages 12+)
Mathematics & Numbers

Name:

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/logarithm

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 computational transformation?Logarithms convert multiplication to addition and division to subtraction
2. What is the calculus relationship?The derivative of ln(x) is 1/x, making it fundamental in calculus
3. How do logarithms help with big numbers?They turn multiplication into addition and division into subtraction, which makes calculations with large numbers much easier and faster.
4. Why did John Napier invent logarithms?Napier created logarithms to simplify astronomical calculations, making them quicker and less labor‑intensive for scientists.

Inverse Operation: An operation that undoes the effect of another operation, like subtraction undoes addition.
Order of Magnitude: A way of expressing the size of a number in terms of powers of 10.
Algorithm Efficiency: How well a computer program performs in terms of time and memory usage as input grows.