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Math Formulas > Algebra > Logarithmic Identities

Logarithmic Identities

log (10) = 1

log (1) = 0

log(ab) = log(a) + log(b)

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

log(am) = m ∙ log(a)

log(m√(a)) = 1/m log(a)

For natural logarithm (ln) functions the following identities apply

ln (10) = 1

ln (1) = 0

ln(ab) = ln(a) + ln(b)

ln(a/b) = ln(a) - ln(b)

ln(am) = m ∙ ln(a)

ln(m√(a)) = 1/m ln(a)

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