Evaluating Logarithms

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 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: log₅(25) = ?

Back

2

Front

Evaluate: log₃(81) = ?

Back

4

Front

Rewrite log_v(n) = a in exponential form.

Back

v^a = n

Front

What is ln(e) = ?

Back

1

Front

Evaluate: log₂(4) = ?

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.

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_b(x) + log_b(y) for any positive x and y.

Front

What is the quotient rule for logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y) for any positive x and y.