DVG Properties of Logarithms (no solving)

Front

What is the Product Property of Logarithms?

Back

The Product Property states that log_b(xy) = log_b(x) + log_b(y).

Front

What is the Quotient Property of Logarithms?

Back

The Quotient Property states that log_b(x/y) = log_b(x) - log_b(y).

Front

What is the Power Property of Logarithms?

Back

The Power Property states that log_b(x^n) = n * log_b(x).

Front

How do you condense log_b(x) + log_b(y)?

Back

log_b(xy) using the Product Property.

Front

How do you condense log_b(x) - log_b(y)?

Back

log_b(x/y) using the Quotient Property.

Front

How do you express log_b(x^n) in terms of log_b(x)?

Back

n * log_b(x) using the Power Property.

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

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 value of log_b(b)?

Back

1, because b^1 = b.