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2. Logarithmic derivative - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_derivative

   Generalising in another direction, the logarithmic derivative of a power (with constant real exponent) is the product of the exponent and the logarithmic derivative of the base: ′ = ′ = ′, just as the logarithm of a power is the product of the exponent and the logarithm of the base.

3. Logarithmic differentiation - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_differentiation

   It can also be useful when applied to functions raised to the power of variables or functions. Logarithmic differentiation relies on the chain rule as well as properties of logarithms (in particular, the natural logarithm, or the logarithm to the base e) to transform products into sums and divisions into subtractions.

4. Differentiation rules - Wikipedia

   en.wikipedia.org/wiki/Differentiation_rules

   Logarithmic differentiation is a technique which uses logarithms and its differentiation rules to simplify certain expressions before actually applying the derivative. [citation needed] Logarithms can be used to remove exponents, convert products into sums, and convert division into subtraction — each of which may lead to a simplified ...

5. List of logarithmic identities - Wikipedia

   en.wikipedia.org/wiki/List_of_logarithmic_identities

   The identities of logarithms can be used to approximate large numbers. Note that log b (a) + log b (c) = log b (ac), where a, b, and c are arbitrary constants. Suppose that one wants to approximate the 44th Mersenne prime, 2 32,582,657 −1. To get the base-10 logarithm, we would multiply 32,582,657 by log 10 (2), getting 9,808,357.09543 ...

6. Teen escapes 12 years after abduction; school bus driver arrested

   www.aol.com/news/teen-escapes-12-years-abduction...

   The city of 2.5 million people registered 139 cases of child sexual exploitation between January and August this year, according to municipal data. Fourteen foreigners have been arrested in ...

7. Harris doesn't speak as tearful supporters leave watch party

   www.aol.com/harris-not-speak-tearful-supporters...

   Vice President Kamala Harris did not speak as election night turned into Wednesday morning as supporters gathered for what was supposed to be a celebration at her alma mater, Howard University.