Logarithms

Definitions:
  • a: Real Number a
  • b: Real Number b
  • x: Real Number x

Definition of Logarithms

x = logb( a ) <=> b^x = a    (if a,b>0 and b ≠ 1)


Laws of Logarithms

log(a * b) = log(a) + log(b)

\(log(a*b) = log(a)+log(b)\)

log( a^b ) = b * log(a)

\(log( a^b ) = b * log(a)\)

log( a/b ) = log(a) - log(b)

\(log( a/b ) = log(a) - log(b)\)