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What is a Natural Logarithm?

What is a natural logarithm?

Summary

  1. 'log' stands for logarithm
  2. 'b' is the base
  3. 'y' is the number we are taking the log of
  4. 'x' is what the logarithm is equal to
  5. The base of a logarithm cannot equal 1
  6. 'e' is called the natural base, and it is an irrational number that we can approximate to 2.71828
  7. The '' sign means 'approximately equal to'
  8. When a logarithm has a base of 'e', we call it a natural logarithm
  9. A natural logarithm can be written as 'logex' or 'ln(x)'

Notes

    1. 'log' stands for logarithm
    2. 'b' is the base
    3. 'y' is the number we are taking the log of
    4. 'x' is what the logarithm is equal to
    1. This number is 'e', the 'natural base'
    1. 'e' is called the natural base
    2. It is an irrational number that we can approximate to 2.71828
    3. A logarithm has the form logby = x, where 'b' is the base
    4. So a natural logarithm could be written as logey = x
    1. logex means 'the log base e of x'
    2. Natural logarithms can be used in science to solve exponential growth and decay problems
    3. They can also be used in finance to solve compound interest problems
    1. loge25 means 'the log base e of 25'