what does log mean In mathematics the logarithm is the inverse function to exponentiation That means that 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
Definition of a logarithm Generalizing the examples above leads us to the formal definition of a logarithm log b a c b c a Both equations describe the same relationship between a b and c b is the base c is the exponent and a Power logarithm the exponent or power to which a base must be raised to yield a given number Expressed mathematically x is the logarithm of n to the base b if bx n in which case one writes x log b n For example 2 3 8 therefore 3 is the logarithm of 8 to base 2 or 3 log 2 8
what does log mean
what does log mean
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Logarithm Meaning example Math Methods Mathematics Education
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Log base 2 of 16 is equal to what or is equal in this case since we have the x there is equal to x This and this are completely equivalent statements This is saying hey well if I take 2 to some x power I get 16 Logarithm definition When b is raised to the power of y is equal x b y x Then the base b logarithm of x is equal to y log b x y For example when 2 4 16 Then log 2 16 4 Logarithm as inverse function of exponential function The logarithmic function y log b x is the inverse function of the exponential function x by
Logarithms are the inverse operation of exponentiation We can use logarithms to find the exponent to which a given base must be raised in order to produce a particular result For example log 2 8 3 because 2 3 8 What is the constant e The constant e is a very important number in mathematics Introduction to Logarithms Illustrated definition of Logarithm A logarithm answers the question How many of this number do we multiply to get that number Example How many
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Glossary and Links A logarithm is the power to which a number must be raised in order to get some other number see Section 3 of this Math Review for more about exponents For example the base ten logarithm of 100 is 2 because ten raised to the power of two is 100 log 100 2 because 102 100 Logarithm function Below is a graph of both f x log x and f x ln x As can be seen from the graph a logarithmic function cannot have a negative x value and has a zero at x 1 because any value raised to the 0 th power is equal to 1 log b 1 0 As x approaches 0 a logarithmic function approaches
the exponent that indicates the power to which a base number is raised to produce a given number the logarithm of 100 to the base 10 is 2 logarithmic l g rit h mik l A logarithm is defined as the power to which a number must be raised to get some other values It is the most convenient way to express large numbers A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction
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what does log mean - Logarithm definition When b is raised to the power of y is equal x b y x Then the base b logarithm of x is equal to y log b x y For example when 2 4 16 Then log 2 16 4 Logarithm as inverse function of exponential function The logarithmic function y log b x is the inverse function of the exponential function x by