Logarithms are exponents, and therefore log properties are exponent properties. Using these properties makes it possible to simplify logarithmic expressions and solve logarithmic equations.

Any base to the power of 0 equals 1. Inversely, the log of one is always zero.


Negative exponents create reciprocals with positive exponents. Therefore, logs of reciprocals create negative results.

Properties1-2 or Properties1-3