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A Step Every 10×

by Anonymous · 1 · 🍴 0

Exponents show how many times we multiply, while logarithms show how many multiplications it takes. See the two curves mirror each other across y=x, then explore a log ruler that fits 1 and 1,000,000 on one screen.

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About this app

One Step per Tenfold is an interactive mathematics lesson about exponential functions, logarithms, and logarithmic scales. Explore how changing a base or exponent affects an exponential curve, reverse the relationship to calculate logarithms, and see how a scale that advances by powers of ten fits values from 1 to 1,000,000 on one screen. Mission-based interactions guide learners through key examples such as powers of 2, zero and negative exponents, and changing logarithm bases.

Use cases

  • High school students learning exponents and logarithms
  • Teachers demonstrating exponential and logarithmic relationships
  • Learners practicing how bases and exponents change function values
  • Anyone visualizing powers of ten across a wide range of values

Features

  • Interactive exponential-function panel with adjustable base and exponent
  • Logarithm panel for changing the base and argument
  • Visual comparison of exponential and logarithmic curves, including their inverse relationship
  • Logarithmic ruler that advances by factors of ten from 1 to 1,000,000
  • Step-by-step missions with reset and next controls