What Is A Logarithm
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What Is A Logarithm
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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 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.

What Are Logarithms Logarithm Logs In Math YouTube
What Is A LogarithmWhat is a logarithm? 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. The logarithm tells us what the exponent is In that example the base is 2 and the exponent is 3 So the logarithm answers the question What exponent do we need for one number to become another number The general case is Example What is log10 100 102 100 So an exponent of 2 is needed to make 10 into 100 and
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