Logarithms

Logarithms

Logarithms

  • Understanding of how logarithms work is very important but the subject is relatively simple to understand.
  • Logarithms are related to 'times' scales, where a quantity is multiplied by a constant at each step.
  • You may at this point be wondering why this is important, you have to understand that some things have a very large range and using a normal non-logarithmic scale would mean that it will be hard to see where exactly the smaller values are unless the scale is very large.
  • For example on a logarithmic scale of base 10, at the position 1 the real value will be 10^1 at the value 2 the real value would be 10^2.
  • So on a scale of only 0-10 there would values range from 1 (10^0) to 100 billion (10^10).
  • This gives a large amount of possibilities that can be included. Notice that the logarithmic scale never reaches 0, 10^-1 is 1/10 and 10^-2 is 1/100 and so on.
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