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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 is 10 to the 3 rd power: 1000 = 103 = 10 × 10 × 10.

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On a calculator it is the "log" button. It is how many times we need to use 10 in a multiplication, to get our desired number. Another base that is often used is e (Euler's Number) which is about 2.71828. This is called a "natural logarithm".

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. The logarithm of the division of x and y is the difference of …

Like many types of functions, the exponential function has an inverse. This inverse is called the logarithmic function. logax = y means ay = x. where a is called the base; a > 0 and a≠1. For example, log232 = 5 because 25 = 32. log5 = - 3 because 5-3 = .

Free logarithm calculator - step-by-step solutions to help simplify logarithmic expressions.

Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

Log Calculator (Logarithm) Please provide any two values to calculate the third in the logarithm equation log b x=y. It can accept "e" as a base input.