Properties of Logarithms

Front

What is the product property of logarithms?

Back

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

Front

What is the base of the common logarithm?

Back

10

Front

How do you rewrite log_b(x^n)?

Back

n * log_b(x)

Front

What is the quotient property of logarithms?

Back

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

Front

What is the power property of logarithms?

Back

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

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 definition of a logarithm?

Back

If b^y = x, then log_b(x) = y.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

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.