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Antiderivative of Log
4 páginas
Publicado por
Nisha Goyal
Antiderivative of Log
The logarithm of a number is the exponent by which another fixed value, the base, has to
be raised to produce that number.
For example, the logarithm of 1000 to base 10 is 3,
because 1000 is 10 to the power 3: 1000...
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Antiderivative of Log
The logarithm of a number is the exponent by which another fixed value, the base, has to
be raised to produce that number.
For example, the logarithm of 1000 to base 10 is 3,
because 1000 is 10 to the power 3: 1000 = 103 = 10 × 10 × 10.
More generally, if x = by,
then y is the logarithm of x to base b, and is written logb(x), so log10(1000) = 3.
Logarithms were introduced by John Napier in the early 17th century as a means to
simplify calculations.
They were rapidly adopted by scientists, engineers, and others to
perform computations more easily, using slide rules and logarithm tables.
These devices
rely on the fact—important in its own right—that the logarithm of a product is the sum of
the logarithms of the factors:
The present-day notion of logarithms comes from Leonhard Euler, who connected them to
the exponential function in the 18th century.
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