7.6 Properties of Logs

Front

What is the property of logarithms that allows you to combine the difference of two logs into a single log?

Back

log_b(x) - log_b(y) = log_b(x/y)

Front

How do you express log_b(x^n) using the properties of logarithms?

Back

log_b(x^n) = n * log_b(x)

Front

What is the sum property of logarithms?

Back

log_b(x) + log_b(y) = log_b(xy)

Front

How can you express log_b(xy^2) using the properties of logarithms?

Back

log_b(xy^2) = log_b(x) + 2 * log_b(y)

Front

What is the property of logarithms that allows you to express the logarithm of a quotient?

Back

log_b(x/y) = log_b(x) - log_b(y)

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

How do you express log_b(1/x) using logarithmic properties?

Back

log_b(1/x) = -log_b(x)