Properties of Natural Log
Properties of Natural Log are,
Product Rule
The product rule of natural log states that,
ln(xy) = ln(x) + ln(y)
Quotient Rule
The quotient rule of natural log states that,
ln(x/y) = ln(x) – ln(y)
Reciprocal Rule
The reciprocal rule of natural log states that,
ln(1/x) = -ln(x)
Log of Power
The log of any term that is written in power term is written as,
ln(xy) = y ln(x)
Natural Log of e
The natural log of “e” is always 1(one) as the base in natural log is ‘e’. This is represented as,
ln (e) = 1
Log of 1
The log of 1 is always zero.
ln (1) = 0
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