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What are the properties of logarithms.

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What are the properties of logarithms.
  • 1 answers

Yogita Ingle 5 years ago

There are four basic rules of logarithms as given below:-

  1. Logb (mn)= logb m + logb n. In this rule, the multiplication of two logarithmic values is equal to the addition of their individual logarithms.

          For example- log( 2y ) = log(2) + log(y)

  1. Logb (m/n)= logb m – logb This is called as division rule. Here the division of two logarithmic values is equal to the difference of each logarithm.

         For example, log( 2/ y ) = log(2) -log(y)

  1. Logb (mn) = n logb m

         This is the exponential rule of logarithms. The logarithm of m with a rational exponent is equal to the exponent times its logarithm.

  1.  Logm = logm/ loga b    
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