Properties of Logarithms

Front

What is the product property of logarithms?

Back

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

Front

What is the quotient property of logarithms?

Back

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

Front

What is the power property of logarithms?

Back

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

Front

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

Back

log_b(xy)

Front

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

Back

log_b(x/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

What is the value of log_b(b)?

Back

1, because b^1 = b.

Front

What is the value of log_b(1)?

Back

0, because b^0 = 1.

Front

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x.

Front

How do you expand the expression log_b(xy^n)?

Back

log_b(x) + n * log_b(y) using the product and power properties.