Logarithms

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Write in logarithmic form: 5^2 = 25.

Back

log_5 25 = 2

Front

Evaluate: log_(1/27) 3 = x.

Back

x = -1/3

Front

Evaluate: log_3 81 = x.

Back

x = 4

Front

Write in logarithmic form: 2^-4 = 1/16.

Back

log_2 (1/16) = -4

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

If log_b a = c, what is the equivalent exponential form?

Back

b^c = a

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

Evaluate: log_10 1000 = x.

Back

x = 3

Front

What is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y.