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What is a Natural Logarithm?
What is a natural logarithm?
Summary
- 'log' stands for logarithm
- 'b' is the base
- 'y' is the number we are taking the log of
- 'x' is what the logarithm is equal to
- The base of a logarithm cannot equal 1
- 'e' is called the natural base, and it is an irrational number that we can approximate to 2.71828
- The '
≈ ' sign means 'approximately equal to' - When a logarithm has a base of 'e', we call it a natural logarithm
- A natural logarithm can be written as 'logex' or 'ln(x)'

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