log10001

Log10001 is typically interpreted in mathematics as the common logarithm of the number 10001, meaning the logarithm base 10 of 10001. In this sense, log10(10001) expresses the exponent to which 10 must be raised to obtain 10001.

Numerically, log10(10001) is slightly greater than 4. Since 10001 = 10000 × 1.0001, log10(10001) = 4 + log10(1.0001). The value of log10(1.0001) is approximately 0.00004343, giving log10(10001) ≈ 4.00004343. This shows that 10001 is just over 10^4 in magnitude. As a consequence, the integer part of log10(10001) is 4, and the number of base-10 digits in 10001 is floor(log10(10001)) + 1 = 5.

Related concepts include the properties of logarithms, such as log10(ab) = log10(a) + log10(b) and the use of logarithms in scale transformations, digit counting, and magnitude estimation. The term log10001 may also appear in contexts where a specific numeric argument is expressed via a base-10 logarithm, or simply as a string or handle in programming, data labeling, or identifiers. In such non-mathematical contexts, log10001 has no universally defined meaning beyond its use as an identifier.

See also: common logarithm, base-10 logarithm, log10, 10001.