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LOG: The LOG function allows you to calculate logarithms with any base. The syntax is =LOG(number, [base]), where number is the positive numeric value and base is the base of the logarithm. If the base is omitted, it defaults to base 10. LN: The LN function calculates the natural logarithm (base e) of a given number.

The word logarithm, abbreviated log, is introduced to satisfy this need. This equation is rewritten as y = log 2 x. This is read as “ y equals the log of x, base 2” or “ y equals the log, base 2, of x.” which is read “ y equals the log of x, base b” or “ y equals the log, base b, of x.”

The difference between log and ln is that log is defined for base 10 and ln is denoted for base e. For example, log of base 2 is represented as log2 and log of base e, i.e. loge = ln (natural log).

log: (in math) An abbreviation for logarithm. logarithm: The power (or exponent) to which one base number must be raised — multiplied by itself — to produce another number. For instance, in the base 10 system, 10 must be multiplied by 10 to produce 100. So the logarithm of 100, in a base 10 system, is 2.