Mastering Logarithms: Key Concepts

Front

Definition of Logarithm

Back

Inverse of exponentiation

Front

Logarithm Notation

Back

log_b(a) = c

Front

Common Logarithm

Back

Base 10

Front

Natural Logarithm

Back

Base e

Front

Logarithm of 1

Back

Always 0

Front

Logarithm of Base

Back

Always 1

Front

Product Rule

Back

log_b(MN) = log_b(M) + log_b(N)

Front

Quotient Rule

Back

log_b(M/N) = log_b(M) - log_b(N)

Front

Power Rule

Back

log_b(M^p) = p*log_b(M)

Front

Change of Base Formula

Back

log_b(a) = log_c(a) / log_c(b)