The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y. …

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In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 …

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Jul 31, 2025 · Logarithmic functions are referred to as the inverse of the exponential function. In other words, the functions of the form f (x) = logbx are called logarithmic functions where b represents the …

This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

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Accordingly, the logarithm can be represented as logₑx, but traditionally, it is denoted with the symbol ln (x). In finance and economics, you might also see the label log (x) used for the same function. …

Let us consider the basic (parent) common logarithmic function f (x) = log x (or y = log x). We know that log x is defined only when x > 0 (try finding log 0, log (-1), log (-2), etc using your calculator. You will …