Log Rules

Front

log(xy^2)

Back

logx + 2logy

Front

log (a / b) = ?

Back

log a - log b

Front

log(4x)

Back

log4 + logx

Front

log (a * b) = ?

Back

log a + log b

Front

Write log_b(xy) as two logs

Back

log_b x + log_b y

Front

Definition of Logarithm

Back

The logarithm of a number is the exponent to which the base must be raised to produce that number.

Front

Change of Base Formula

Back

log_b a = log_k a / log_k b for any base k.

Front

Product Rule of Logarithms

Back

log_b(xy) = log_b x + log_b y.

Front

Quotient Rule of Logarithms

Back

log_b(a/b) = log_b a - log_b b.

Front

Power Rule of Logarithms

Back

log_b(x^n) = n * log_b x.