common logarithm
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A common logarithm is a logarithm with a base of 10. It is also known as a Briggsian logarithm. The concept of logarithms was developed in the 17th century to simplify complex calculations, particularly multiplication, by converting them into addition.
Mathematically, if (b^x = n), then (x) is the logarithm of (n) to the base (b), written as (x = \log_b n). For a common logarithm, the base (b) is 10. For example, since (10^2 = 100), the common logarithm of 100 is 2, written as (\log 100 = 2).
Common logarithms were historically vital for scientific computations but have largely been superseded by mechanical calculators and computers for large-scale tasks. However, the principles of logarithms remain fundamental in various areas of mathematics and science.12
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- Henry Briggs
…invented the common, or Briggsian, logarithm. His writings were mainly responsible for the widespread acceptance of logarithms throughout Europe. His innovation was instrumental in easing the burden of mathematicians, astronomers, and other scientists who must make long and tedious calculations.
Read More…invented the common, or Briggsian, logarithm. His writings were mainly responsible for the widespread acceptance of logarithms throughout Europe. His innovation was instrumental in easing the burden of mathematicians, astronomers, and other scientists who must make long and tedious calculations.
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mathematicsNumerical calculation…published an extensive table of common logarithms, or logarithms to the base 10. Because the base was no longer close to 1, the table could not be obtained as simply as Napier’s, and Briggs therefore devised techniques involving the calculus of finite differences to facilitate calculation of the entries. He…
Read More…published an extensive table of common logarithms, or logarithms to the base 10. Because the base was no longer close to 1, the table could not be obtained as simply as Napier’s, and Briggs therefore devised techniques involving the calculus of finite differences to facilitate calculation of the entries. He…
Read More