Log Calculator

    Calculate Logarithm Value (exponent “y”) to any base “b” value with argument ‘x’. Logarithm equation logbx=y.

    Modify the values and click the calculate button to see result.

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    Logarithm has its origins in 8th century India; Log in Greek means ratio and arithmos means numbers, logarithms is ratio numbers. Scottish mathematician John Napier explained the application of Logarithms in the 17th century. A logarithm is the inverse function of the mathematical operation of exponentiation that helps to simplify calculations. Log calculator is a handy online application that helps to compute the logarithmic value for a specified base and argument. For a given expression the log calculator computes the log value, they are an alternate option for writing exponential expressions. Log calculators are commonly used in measuring earthquake intensity and determining the brightness of planets and stars.

    The log calculator calculates the logarithm of a real number that is positive with a selected base that can be positive but not equal to 1. It helps to calculate and give results for both natural logarithm when the base is e, and common logarithm like log base 2, or log base 10. For the computation of the natural logarithm, one has to choose base e, which is approximately 2.718281. The symbol has been derived from Leonhard Euler who configured its value in 1731. Hence, the logarithm can be represented as logex and it is normally denoted as ln(x). For instance, compound interest, an interest value that is calculated from the principal amount and accumulated interest, can be calculated with the help of a natural logarithm.

    The calculator also calculates logarithm with the base of 10, popularly known as common logarithm and is denoted by lg(x). It is also known as Briggsian logarithm, named after its developer, an English mathematician, Henry Briggs. It is the most commonly used logarithm and it helps to ease complex computation to a great level. A logarithm without a base is assumed to be log base 10 as in log10. Logarithms have various uses, one with base e is used in Mathematics and Physics, one with base 2 is mainly used in computer science and base 10 is mostly used in science and engineering.

    There could be a condition where the argument of a logarithm is the product of two numbers, then the logarithm can be written as an addition of the logarithm of each numeral. Also, there could be a condition where the argument of a logarithm is a fraction, then the logarithm can be written as subtraction of the logarithm of the numerator minus the logarithm of the denominator. If an exponent exists in the argument of a logarithm, then the exponent can be taken out of the logarithm and multiplied. One can also change the base of the logarithm and switch the base and argument.

    The Economic Times