Evaluating Logs

Front

What is the domain of the function y = log_4(x - 2)?

Back

The domain is all real numbers x > 2.

Front

How do you evaluate log_2(8)?

Back

log_2(8) = 3 because 2^3 = 8.

Front

What does the statement log_9(81) imply?

Back

It implies '9 to what power is 81?', and the answer is 2.

Front

Evaluate log_5(√5).

Back

log_5(√5) = 1/2 or 0.5 because √5 = 5^(1/2).

Front

Rewrite the equation 7^0 = 1 in logarithmic form.

Back

log_7(1) = 0.

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 change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

What is the relationship between logarithms and exponents?

Back

If b^y = x, then log_b(x) = y.

Front

What is the value of log_10(1000)?

Back

log_10(1000) = 3 because 10^3 = 1000.

Front

How do you express log_4(16) in terms of exponents?

Back

log_4(16) = 2 because 4^2 = 16.