Log Rules

Front

log (2 * 3) = ?

Back

log 2 + log 3

Front

Write log_b(xy) as two logs

Back

log_b x + log_b y

Front

log (a * b) = ?

Back

log a + log b

Front

ln(4xy) = ?

Back

ln 4 + ln x + ln y

Front

log(4x) = ?

Back

log 4 + log x

Front

What is the product rule of logarithms?

Back

log_b(mn) = log_b m + log_b n

Front

What is the quotient rule of logarithms?

Back

log_b(m/n) = log_b m - log_b n

Front

What is the power rule of logarithms?

Back

log_b(m^n) = n * log_b m

Front

If log_b a = c, what is a in terms of b and c?

Back

a = b^c

Front

What is the change of base formula for logarithms?

Back

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