##### Web results:

In mathematics, the

**logarithm**is the inverse function to exponentiation. That means the**logarithm**of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 103, the**logarithm**base 10 of 1000 is 3, or log10 (1000) = 3.This log calculator (logarithm calculator) allows you to calculate the logarithm of a (positive real) number with a chosen base (positive, not equal to 1). Regardless of whether you are looking for a natural logarithm, log base 2, or log base 10, this tool will solve your problem. Read on to get a better understanding of the logarithm formula and the rules you need to follow.

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. Conventionally, log implies that base 10 is being used, though the base can technically be anything.

log a m n = n log a m; Here, the bases must be the same on both sides. This resembles/is derived from the power of power rule of exponents: (x m) n = x mn. Change of Base Rule. The base of a logarithm can be changed using this property. It says: log b a = (log꜀ a) / (log꜀ b) Another way of writing this rule is log b a · log꜀ b = log꜀ a.

In order to calculate

**log**-1 (y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or calculate button: The anti logarithm (or inverse logarithm) is calculated by raising the base b to the logarithm y:Unfortunately, not all logarithms can be calculated that easily. For example, finding log 2 5 is hardly possible by just using our simple calculation abilities. After using logarithm calculator, we can find out that. log 2 5 = 2,32192809. There are a few specific types of logarithms.

A logarithm is just another way of writing exponents. When we cannot solve a problem using the exponents, then we use logarithms. There are different logarithm formulas that are derived by using the laws of exponents. Let us learn them using a few solved examples.

1. : a usually bulky piece or length of a cut or fallen tree. especially : a length of a tree trunk ready for sawing and over six feet (1.8 meters) long. 2. : an apparatus for measuring the rate of a ship's motion through the water that consists of a block fastened to a line and run out from a reel. 3.

**Log**(x) means the base 10 logarithm and can also be written as log10(x). It tells you what power 10 must be raised in order to obtain the number x. The inverse of log10(x) is 10x. ln (x) ln (x) means the base e logarithm and can also be written as loge(x). ln (x) tells you what power e must be raised in order to obtain the number x.**LOG**is the file extension for an automatically produced file that contains a record of events from certain software and operating systems. While they can contain a number of things,**log**files are often used to show all events associated with the system or application that created them.