The logarithm to base ( that is ) is called the common logarithm and has many applications in science and engineering.
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The number of transmission units expressing the ratio of any two powers is therefore ten times the common logarithm of that ratio.
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The location of the decimal point in 120 tells us that the integer part of the common logarithm of 120, the characteristic, is 2.
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For switching from millimeters of mercury to pascals it is sufficient to add the common logarithm of the factor between both units to the A parameter:
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How they differ from the common logarithms, how one system can be changed to the other, how they are determined, are all explained.
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Yet another example is pH in chemistry; pH is the negative of the common logarithm of the mol�L " 1, hence a pH of 7.
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The last number ( 0.07918 ) the fractional part or the mantissa of the common logarithm of 120 can be found in the table shown.
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Tables of common logarithms were used until the invention of computers and electronic calculators to do rapid multiplications, divisions, and exponentiations, including the extraction of " n " th roots.
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The fractional part of the common logarithm of numbers greater than zero but less than one is just 1 minus the mantissa of the same number with the decimal point shifted to the right of the first non-zero digit.
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Tables of common logarithms typically listed the mantissa, to 4 or 5 decimal places or more, of each number in a range, e . g . 1000 to 9999 . Such a range would cover all possible values of the mantissa.
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