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1
Calculus: Single Variable
The Napierian logarithm enjoys algebraic laws analogous to those of the natural
logarithm. For example, the equation = nlr(rje) + nlr(ry) is the Napierian logarithm
version of the basic identity for the natural logarithm. Using such laws as an aid, ...
Brian E. Blank, Steven George Krantz, 2006
2
Philosophical Transactions of the Royal Society of London
I will commence by stating that if the analytical logarithmic expression is that of
the common logarithm, then this must be converted to that of the Napierian
logarithm by the multiplication of the coefficients by the Napierian logarithm of 10,
that is, ...
3
Engineering Mathematics
Logarithms having a base of 'e' are called hyperbolic, Napierian or natural
logarithms and the Napierian logarithm of x is written as logex, or more
commonly as lnx. Logarithms were invented by John Napier∗, a Scotsman (1550
–1617).
4
Basic Engineering Mathematics
Logarithms having a base of e are called hyperbolic, Napierian or natural
logarithms and the Napierian logarithm of x is written as loge x or, more
commonly, as ln x. Logarithms were invented by John Napier∗, a Scotsman. The
most common ...
5
Higher Engineering Mathematics
The most common method of evaluating a Napierian logarithm is by a scientific
notationcalculator. Use your calculator to check the following values: ln4.328 =
1.46510554... = 1.4651, correct to 4 decimal places ln1.812 = 0.59443, correct to
5 ...
6
Elements of Trigonometry, Plane and Spherical
If x represents the common logarithm of any number y, a being the base, and a/
the Napierian logarithm of the same number y, e being the base, and if we
designate Napierian logarithms always by the dash (»); we shall have the
relations e' ...
M. Lefébure de Fourcy (Louis Etienne), 1868
7
The Encyclopaedia Britannica, Or Dictionary of Arts, ...
But this last series is the same as we have denoted by A ; hence it follows, that
the modulus of any system is the reciprocal of the Napierian logarithm of the
radical number of that system. Thus it appears that the logarithms of numbers, ...
8
THE CALCULUS OF OPERATIONS
... the base of common logarithms, 2,30258509299 being the napierian logarithm
of 10, Now (l + 6)*=(l+7i)*a!, or ax= e^x; and therefore if N = a% x will be the
logarithm of N to the base a; but to the base e9 the logarithm of the same number
N ...
JOHN PATERSON, A.M., 1850
9
Newnes Engineering Mathematics Pocket Book
Napierian logarithms Logarithms having a base of e are called hyperbolic,
Napierian or natural logarithms and the Napierian logarithm of x is written as log,
x, or more commonly, In x. Evaluating Napierian logarithms The value of a
Napierian ...
10
BTEC National Engineering
Napierian. (natural). logarithms. and. the. exponential. function. If you look at your
calculator you will see the ln or Napierian logarithm button. The inverse of the
Napierian logarithm function is ex or exp x, the exponential function.
Mike Tooley, Lloyd Dingle, 2010
