Evaluating Logarithms

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Evaluate without a calculator: log_8 64

Back

2

Front

Rewrite log_v n = a in exponential form.

Back

v^a = n

Front

Evaluate without a calculator: log 1,000

Back

3

Front

Evaluate without a calculator: log_5 625

Back

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 x = y, what is the equivalent exponential form?

Back

b^y = x

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 certain value.

Front

Evaluate log_10 100.

Back

2

Front

What is the change of base formula for logarithms?

Back

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