what does logarithmic mean In its simplest form a logarithm answers the question How many of one number multiply together to make another number Example How many 2 s multiply together to make 8 Answer 2 2 2 8 so we had to multiply 3 of the 2 s to get 8 So the logarithm is 3 How to Write it We write it like this log2 8 3 So these two things are the same
You will learn what logarithms are and evaluate some basic logarithms This will prepare you for future work with logarithm expressions and functions What is a logarithm In this article we are going to learn the definition of logarithms two types of logarithms such as common logarithm and natural logarithm and different properties of logarithms with many solved examples
what does logarithmic mean
what does logarithmic mean
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Logarithms serve several important purposes in mathematics science engineering and various fields Some of their main purposes include Solving Exponential Equations Logarithms provide a way to solve equations involving exponents When you have an equation of the form a x b taking the logarithm of both sides allows you to solve for x 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 b x 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 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 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
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A logarithm is the opposite of a power In other words if we take a logarithm of a number we undo an exponentiation Let s start with simple example If we take the base b 2 and raise it to the power of k 3 we have the expression 2 3 The result is some number we ll call it c defined by 2 3 c A logarithm answers the question How many of this number do we multiply to get that number Example How many 2s must we multiply to get 8 Answer 2 2 2 8 so we had to multiply 3 of the 2s to get 8 We say the logarithm of 8 with base 2 is 3
The definitive guide to logarithm its concept its applications its algebraic rules and its expansion into complex numbers Discover the link between exponential function b M and log M N in this article about Logarithms Explained Understanding this basic idea helps us solve algebra problems that require switching between logarithmic and exponential forms
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what does logarithmic 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