Properties of Logarithms

Front

What is the property of logarithms that states log_b(x/y)?

Back

log_b(x) - log_b(y)

Front

How do you express log_b(x^n)?

Back

n * log_b(x)

Front

What is the property of logarithms that states log_b(xy)?

Back

log_b(x) + log_b(y)

Front

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

Back

log_b(xy)

Front

What is the result of log_b(x^m) + log_b(y^n)?

Back

m * log_b(x) + n * 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 expand log_b(x^m * y^n)?

Back

m * log_b(x) + n * log_b(y)

Front

What is the result of log_b(1)?

Back

0, because b^0 = 1.

Front

What is the result of log_b(b)?

Back

1, because b^1 = b.

Front

How do you express log_b(x/y) in terms of logs?

Back

log_b(x) - log_b(y)