LOGS

Front

What is a logarithm?

Back

A logarithm is the power to which a number (the base) must be raised to obtain another number. For example, log_b(a) = c means b^c = a.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power. In log_b(a), b is the base.

Front

What is the inverse operation of logarithms?

Back

The inverse operation of logarithms is exponentiation.

Front

State the Product Property of Logarithms.

Back

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

Front

State the Quotient Property of Logarithms.

Back

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

Front

State the Power Property of Logarithms.

Back

log_b(m^n) = n * log_b(m) for any positive number m and any real number n.

Front

What is the Change of Base Formula?

Back

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

Front

What is the value of log_b(b)?

Back

log_b(b) = 1, because b^1 = b.

Front

What is the value of log_b(1)?

Back

log_b(1) = 0, because b^0 = 1.

Front

If log_b(a) = c, what is a in terms of b and c?

Back

a = b^c.