Properties of Logarithms

Front

Write log_b(x/y) as two logs

Back

log_b(x) - log_b(y)

Front

The common logarithm has what base?

Back

10

Front

Rewrite log_b(x^n)

Back

n * log_b(x)

Front

Condense: log_b(x) + log_b(y)

Back

log_b(xy)

Front

Condense: 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 logarithm of 1 in any base?

Back

0

Front

What is the logarithm of the base itself?

Back

1

Front

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

Back

b^y = x

Front

What is the product property of logarithms?

Back

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