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log base 3 of x = lnx

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log base 3 of x = lnx

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The natural logarithm is the logarithm having base e, where

The common logarithm is the logarithm to base 10.

You can probably find both definitions in wikipedia.

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The natural logarithm (ln) is used when you have log base e

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The "base of the natural logarithm" is the number known as "e". It is approximately 2.718.

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The common logarithm (base 10) of 2346 is 3.37. The natural logarithm (base e) is 7.76.

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