Warm Up - Expanding Logarithms

Front

What is the product rule for logarithms?

Back

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

Front

What is the power rule for logarithms?

Back

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

Front

What is the sum rule for logarithms?

Back

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

Front

What is the difference rule for logarithms?

Back

log_b(x) - log_b(y) = 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 natural logarithm?

Back

The natural logarithm is the logarithm to the base e, denoted as ln(x).

Front

What is the value of log(10)?

Back

log(10) = 1, since 10^1 = 10.

Front

What is the value of log(1)?

Back

log(x) = 0 for any base, since b^0 = 1.

Front

What is the relationship between logarithms and exponents?

Back

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

Front

What is the logarithm of a product?

Back

log_b(xy) = log_b(x) + log_b(y) (Product Rule).