what is log 2

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what is log 2 Example What is log 2 64 We are asking how many 2s need to be multiplied together to get 64 2 2 2 2 2 2 64 so we need 6 of the 2s Answer log 2 64 6

Log base 2 is the power to which the number 2 must be raised to obtain the value of n For any real number x log base 2 functions are written as x log 2 n Which is equal to 2 x n Note that the logarithm of base 0 does not exist and logarithms of negative values are not defined in the real number system The formula for Log base 2 is a mathematical form of expressing any natural number as an exponential form to the base of 2 The exponential form of 2 4 16 can be easily represented as a log base 2 and written as log216 4 l o g 2 16 4 Log N to the base of 2 is equal to expressing the number N in exponential form having a base

what is log 2

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what is log 2
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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 Log 2 4 8 log 2 4 log 2 8 log 2 32 log 2 4 log 2 8 Since 4 8 32 5 2 3 Evaluating the logs 5 5 We can use the product rule to rewrite logarithmic expressions Example Expanding logarithms using the product rule

This is expressed by the logarithmic equation log 2 16 4 read as log base two of sixteen is four 2 4 16 log 2 16 4 Both equations describe the same relationship between the numbers 2 4 and 16 where 2 According to the definition of the logarithmic function Base a 10 and 10 x b With the use of logarithm table the value of log 2 to the base 10 is given by 0 3010 Log10 2 0 3010 Value of ln 2 or log e 2 The natural log function of 2 is denoted by log e 2 It is also known as the log function of 2 to the base e

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Algebra 2 Intro to logarithms Google Classroom About Transcript Sal explains what logarithms are and gives a few examples of finding logarithms Created by Sal Khan Questions Tips Thanks Want to join the conversation Sort by Top Voted Aadil Rizvi 11 years ago is there any synonym of logarithm 69 votes 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 log2 64 6 because 2 6 64 26 64 In general we have the following definition z z is the base x x logarithm of y y if and only if x z y xz

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