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MTH-101 route
Unit 2 · Lesson 4 of 4 10 min

Exponential Growth, Decay and Half-Life

When will the culture pass a million? When is only a tenth of the tracer left? Logs bring the unknown down from the index.

What this unit covers

Unit 2: Indices, Surds and Logarithms

  1. 1 Laws of IndicesOne bacterium becomes a billion before breakfast. Indices are the shorthand for repeated multiplying. · 10 min
  2. 2 SurdsKeep the square root exact, simplify it, and never leave one in a denominator. · 10 min
  3. 3 LogarithmsTwo to the what gives 32? A logarithm is the answer to that question, and its laws are the index laws in disguise. · 10 min
  4. 4 Exponential Growth, Decay and Half-LifeWhen will the culture pass a million? When is only a tenth of the tracer left? Logs bring the unknown down from the index. · 10 min