The log power rule is the logarithm identity
 |
where 
,
, and 
are real numbers, and
is a real
number. On the principal branch of the complex
logarithm, the identity can require an additive integer
multiple of 
.
Log Power Rule
See also
Logarithm, Logarithm Laws, PowerExplore with Wolfram|Alpha
References
Abramowitz, M. and Stegun, I. A. (Eds.). "Logarithmic Function." §4.1 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 67-69, 1972.Cite this as:
Weisstein, Eric W. "Log Power Rule." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LogPowerRule.html