linguistic:paraphrasing
Natural logarithm of 10

The natural logarithm of 10, approximately equal to 2.302 585 09, plays a role for example in the computation of natural logarithms of numbers represented in scientific notation, as a mantissa multiplied by a power of 10: ln (a ⋅ 10 n) = ln a + n ln 10. {\displaystyle \ln(a\cdot 10^{n})=\ln a+n\ln 10.}

This means that one can effectively calculate the logarithms of numbers with very large or very small magnitude using the logarithms of a relatively small set of decimals in the range [1, 10).