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===Natural logarithm of 10=== The natural logarithm of 10, approximately equal to {{math|{{val|2.30258509}}}},<ref>{{Cite OEIS|A002392|Decimal expansion of natural logarithm of 10}}</ref> plays a role for example in the computation of natural logarithms of numbers represented in [[scientific notation]], as a [[Mantissa (logarithm)|mantissa]] multiplied by a power of 10: <math display="block">\ln(a\cdot 10^n) = \ln a + n \ln 10.</math> This means that one can effectively calculate the logarithms of numbers with very large or very small [[magnitude (mathematics)|magnitude]] using the logarithms of a relatively small set of decimals in the range {{math|[1, 10)}}.
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