what does log mean in math 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 10 3 the logarithm base of 1000 is 3 or log 10 1000 3
Logarithms are another way of thinking about exponents For example we know that 2 raised to the 4 th power equals 16 This is expressed by the exponential equation 2 4 16 Now suppose someone asked us 2 raised to which power equals 16 The answer would be 4 This is expressed by the logarithmic equation log 2 Logarithms made it easy for people to carry out otherwise difficult operations eg find the value of 4th root of 24 we can simply take log 24 and divide by 4 The antilog of the resultant figure will give us the answer
what does log mean in math
what does log mean in math
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LOG1 Lesson 01 What Are Logarithms YouTube
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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 In the same fashion since 10 2 100 then 2 log 10 100 A logarithm is the inverse function of exponentiation A logarithm tells us the power y that a base b needs to be raised to in order to equal x This is written as log b x y Example Write the equivalent of 10 3 1000 using logarithms Two of the most commonly used bases are base 10 common logarithm and base e natural logarithm
A logarithm is the inverse of the exponential function Specifically a logarithm is the power to which a number the base must be raised to produce a given number For example log 2 64 6 because 2 6 64 In general we have the following definition z is the base x logarithm of y if and only if x z y Learn about the properties of logarithms and how to use them to rewrite logarithmic expressions For example expand log 3a These properties apply for any values of M N and b for which each logarithm is defined which is M N 0 and 0 b 1 What does all this mean again 1 What you should be familiar with before taking this lesson
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Logarithms In Mathematics logarithms are the other way of writing the exponents A logarithm of a number with a base is equal to another number A logarithm is just the opposite function of exponentiation For example if 102 100 then log10 100 2 Hence we can conclude that Logb x n or bn x Logarithms Explained If you are familiar with the exponential function latex b N M latex then you should know that its logarithmic equivalence is latex log b M N latex These two seemingly different equations are in fact the same or equivalent in every way Look at their relationship using the definition below
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what does log mean in math - Learn about the properties of logarithms and how to use them to rewrite logarithmic expressions For example expand log 3a These properties apply for any values of M N and b for which each logarithm is defined which is M N 0 and 0 b 1 What does all this mean again 1 What you should be familiar with before taking this lesson