11-28 Class notes - Changing expressions from exponential to logarithmic

A relationship with exponents

a^m times a^n = a^(m + n)

implies a relationship between logarithms

log m plus log n = log (m times n)


This is the product rule.


Similarly,

a^m divided by a^n = a^(m - n)

implies

log m minus log n = log (m divided by n)


This is the quotient rule.