Log Rules

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

log (2 * 3) = ?

Back

log 2 + log 3

Front

log (2 / 3) = ?

Back

log 2 - log 3

Front

Condense: log16 + log2 - log8

Back

log4

Front

log (a^2 * b) = ?

Back

2log(a) + log(b)

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

Front

What is the change of base formula?

Back

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

Front

What is the product rule of logarithms?

Back

log_b(m * n) = log_b(m) + log_b(n) for any positive m and n.

Front

What is the quotient rule of logarithms?

Back

log_b(m / n) = log_b(m) - log_b(n) for any positive m and n.

Front

What is the power rule of logarithms?

Back

log_b(m^p) = p * log_b(m) for any positive m and real number p.