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2. 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 ...

3. Logarithmic differentiation - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_differentiation

   In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, [1] (⁡) ′ = ′ ′ = (⁡) ′.

4. Quotient rule - Wikipedia

   en.wikipedia.org/wiki/Quotient_rule

   In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = (), where both f and g are differentiable and ()

5. How to Get Rid of Blisters, According to Doctors - AOL

   www.aol.com/rid-blisters-according-doctors...

   BLISTERS MIGHT NOT seem like a big deal—until you get one and remember how debilitating they can be. These painful skin lesions are caused by friction when your skin rubs against your shoes ...

6. Where home prices are forecast to increase most in the coming ...

   www.aol.com/finance/where-home-prices-forecast...

   SmartAsset ranked 2,000 of the largest U.S. zip codes based on the projected average dollar increase in home prices between August 2024 and August 2025.

7. Cole Palmer makes English Premier League history with 12th ...

   www.aol.com/cole-palmer-makes-english-premier...

   Chelsea star Cole Palmer broke an English Premier League record on Sunday as he scored two penalties in his side’s 4-3 comeback win against Tottenham.

8. Exponential function - Wikipedia

   en.wikipedia.org/wiki/Exponential_function

   Exponential functions with bases 2 and 1/2. In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. . The exponential of a variable ⁠ ⁠ is denoted ⁠ ⁡ ⁠ or ⁠ ⁠, with the two notations used interchangeab

9. Eight killed and 17 injured in mass stabbing in eastern China

   www.aol.com/eight-killed-17-injured-mass...

   Eight people were killed and 17 others injured in a stabbing attack on a college campus in eastern China on Saturday, police said — the latest in a recent spate of attacks that has shaken a ...