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The natural logarithm is the logarithm having base e, where
The common logarithm is the logarithm to base 10.
It really depends on the question!
Maybe you should check out the examples!
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The common, or Base-10, logarithm will cover any multiplication, division and power arithmetic in the ordinary numbers, which are to base-10. It is also the base for the logarithmic ratio defining the decibel scale used in acoustics and electrical signals analysis.
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The natural logarithm (base-e) underlies a large number of specific scientific laws and purposes, such as the expansion of gas in a cylinder.
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