Logarithm Formula

What are Logarithm Formulas?

Logarithm Formulas are the formulas that are useful to solve the logarithmic problems. They are derived using laws of exponents.

How To Derive Log Formulas?

Logarithm Formulas are derived using Laws of Exponetnts

What are Applications of Log Formulas?

Various applications of log formulas are,

  • They are used to simplify log problems.
  • They are used to solve various large calculation.
  • They are used to find the Derivative and Integral of various functions.
  • They are used in graph plotting, etc.

What is Product Formula of Logarithm?

The product formula of logarithm states that, for any base ‘n’, logn(a.b) = logn(a) + logn(b)

What is Quotient Formula of Logarithm?

The quotient formula of logarithmic states that, for any base ‘n’, logn(a/b) = logn(a) – logn(b)

What is Power Formula of Logarithm?

The power formula of logarithm states that, for any base ‘n’, logn(a)b = b.logn(a)



Logarithm Formula

Logarithm was invented in the 17th century by Scottish mathematician John Napier (1550-1617). The Napier logarithm was the first to be published in 1614. Henry Briggs introduced a common (base 10) logarithm. John Napier’s purpose was to assist in the multiplication of quantities that were called sines. 

Table of Content

  • Logarithm Formula
  • Properties of Logarithm
    • Product Formula of Logarithms
    • Quotient Formula of Logarithms
    • Power Formula of Logarithms
    • Change of Base Formula
    • Other Logarithm Formulas
  • Properties of Natural Log
    • Product Rule
    • Quotient Rule
    • Reciprocal Rule
    • Log of Power
    • Natural Log of e
    • Log of 1
  • Log Formulas Derivation

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