Alg 2 Props of Log Flashcard Review

Front

What is the base of a natural logarithm?

Back

e

Front

What is the domain of the function y=log_7(x - 4) + 2?

Back

(4,∞)

Front

Rewrite as a single logarithm: 4log(j) - 2log(h)

Back

log(j^4/h^2)

Front

Rewrite log_p(t) = m in exponential form.

Back

p^m = t

Front

Simplify: log_3(5x) + log_4(2x)

Back

Cannot be simplified

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 base k.

Front

What is the product property of logarithms?

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.

Front

What is the quotient property of logarithms?

Back

log_b(m/n) = log_b(m) - log_b(n) for any positive m and n.

Front

What is the power property of logarithms?

Back

log_b(m^p) = p * log_b(m) for any positive m and p.