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. For example, log_b(a) = c means b^c = a.

Front

Evaluate without a calculator: log_10(1000)

Back

3

Front

Evaluate without a calculator: log_5(625)

Back

4

Front

If log_2(4) = x, what is the value of x?

Back

2

Front

If log_x(2) = 1/2, what is the value of x?

Back

4

Front

Evaluate without a calculator: log_8(64)

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 relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

Evaluate: log_10(10)

Back

1

Front

Evaluate: log_10(1)

Back

0