If you have logarithmic terms with the same base that are being subtracted, you can use the quotient rule to combine them into a single logarithm. The quotient rule states that the difference of ...

THE publication of these tables helps to mark a change in the use of logarithms, both for teaching and practical purposes. Nowadays most teachers use four-figure tables for teaching purposes, even in ...

PERHAPS the best way of treating this work, which does not contain a single word of explanation, will be to give a summary of the tables contained in it. First we have proportional parts of all ...

\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

Here, we bring for you another tricky yet important concept to learn. ‘Logarithms’ is one important topic of algebra which has the potential to lower the scores of a CAT aspirant. Hence, it is ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Logarithms are everywhere in mathematics and derived fields, but we rarely think about how trigonometric functions, exponentials, square roots and others are calculated after we punch the numbers into ...

A law of the iterated logarithm is derived for the empirical distribution functions of a sequence of independent identically distributed random variables. Convergence is in the uniform topology on the ...