The logarithm is denoted log b x (pronounced as the logarithm of x to base b, the base-b logarithm of x, or most commonly the log, base b, of x ). An equivalent and more succinct definition is that the function log b is the inverse

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Common and Natural Logarithms

log 2 = 0.3, log 3 = 0.47 and log e = 0.43. note, log 5 is log (10/2) i.e log 10- log2 = 0.7 Now, log (1+x) = log e * ln (1+x) . ln (1+x) approximates to x if |x| log (1+x) is approximately