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Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step
Free logarithm calculator - step-by-step solutions to help simplify logarithmic expressions.
Please provide any two values to calculate the third in the logarithm equation logbx=y. It can accept "e" as a base input. What is Log? The logarithm, or log, is the inverse of the mathematical operation of exponentiation. This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number.
In the form of equations, aʸ = x is equivalent to logₐ (x) = y. In other words, the logarithm of x, or logₐ (x), shows what power we need to raise a to (or if x is greater than 1, how many times a needs to be multiplied by itself) to produce the value x. From this view, we can represent the logarithm in the following way as well:
The graph above presents the values for the common, natural and binary logarithm functions for the values from 0.1 to 20 (logarithm of zero is not defined). How to calculate logarithms? Certain logarithms can be easy to compute in your mind, e.g. log 10 (1000) = 3 since 10^3 = 1000.
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This calculator can be used to determine any type of logarithm of a real number of any base you wish. Common, binary, and natural logarithms can all be found using the online logarithm calculator.