Logarithms

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

What is log_3 81?

Back

4

Front

Evaluate log_7 343.

Back

3

Front

Express as a single logarithm: 5log 2.

Back

log 32

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the change of base formula for logarithms?

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 (xy) = log_b x + log_b y.

Front

What is the quotient rule of logarithms?

Back

log_b (x/y) = log_b x - log_b y.

Front

What is the power rule of logarithms?

Back

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