Properties of Logarithms

Front

Evaluate log_b(b)

Back

1

Front

The common logarithm has what base?

Back

10

Front

Log with a base 'e' (log_e) is the same thing as...

Back

Natural Logarithm (LN)

Front

Write the expression as a single logarithm: log 6 - log 3 + 2 log 7. Simplify if possible.

Back

log 98

Front

Write the expression as a single logarithm: log_5(3) + log_5(6) + log_5(9). Simplify if possible.

Back

log_5(162)

Front

What is the product property of logarithms?

Back

log_b(MN) = log_b(M) + log_b(N)

Front

What is the quotient property of logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N)

Front

What is the power property of logarithms?

Back

log_b(M^p) = p * log_b(M)

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(1)?

Back

0