Log Rules

Front

What is the logarithmic identity for log(x^n)?

Back

log(x^n) = n * log(x)

Front

Evaluate log_5 20 to three decimal places.

Back

1.861

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Write log_b(x/y) as two logs.

Back

log_b x - log_b y

Front

Evaluate log_4 1.

Back

0

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 value of log_a a?

Back

1

Front

What is the value of log_a 1?

Back

0

Front

If log_b x = y, what is x in terms of b and y?

Back

x = b^y

Front

What is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y