5.3.2 	Exponential and logarithmic functions

The integral of f(x)exp(ax) dx, H. L. Kung, 1:2, 1970, 106, C, 5.2.5
Integration by Undetermined Coefficients, Louise Grinstein, 2:2, 1971, 98-100,
5.2.5
Which is Larger, e^pi or pi^e?, Ivan Niven, 3:2, 1972, 13-15
An Alternate Classroom Proof of the Familiar Limit for e, Norman Schaumberger,
3:2, 1972, 72-73, C
Random Sieving and the Prime Number Theorem, Karl Greger, 5:1, 1974, 41-46, 9.3
Some Comments on the Exceptional Case in a Basic Integral Formula, Norman
Schaumberger, 5:3, 1974, 58, C, 5.2.1
Two More Proofs of a Familiar Inequality, Erwin Just and Norman Schaumberger,
6:2, 1975, 45, C
A Geometric Approach to a Basic Limit, Norman Schaumberger, 7:1, 1976, 11-12
Using Inverse Functions in Integration, Robert C. Crawford, 8:2, 1977, 107-109,
C, 5.3.3
A Neglected Approach to the Logarithm, Bruce S. Babcock and John W. Dawson,
Jr., 9:3, 1978, 136-140, 5.1.1
On the General Power Function, P.S.Chee and S.T.Chin, 11:1, 1980, 51, C
Is Ln the Other Shoe?, Byron L. McAllister and J. Eldon Whitesitt, 12:1, 1981,
20-23, 5.2.1
Obtaining a Numerical Estimate for e, David H. Anderson, 12:1, 1981, 30-33
A "Proof" that 0=1, Norman Schaumberger, 12:3, 1981, 211, C
Euclid's 'Elements' -excerpts from a 1660 edition, 12:2, 1981, 117, 0.3, 5.3.3
Integration by Geometric InsightA Student's Approach, Ann D. Holley, 12:4,
1981, 268-270, C, 5.2.6, 5.3.1
Motivating e by Calculator, Arthur C. Segal, 13:4, 1982, 271, C
A Nonlogarithmic Proof That (1 +1/n )^n has limit e, Lee Badger, 13:5, 1982,
331-332, C
A Logarithm Algorithm for Four-Function Calculators, David Cusick, 14:4, 1983,
322, 0.2
A Logarithm Algorithm for a Five-Function Calculator, Donald L. Muench and
Gerald Wildenberg, 14:4, 1983, 324-326
Another Way to Introduce Natural Logarithms and e, Robert R. Christian, 14:5,
1983, 424-426
Evaluating e^x Using Limits, Sheldon P. Gordon, 15:1, 1984, 63-65, 5.4.2
Inverse Functions, Ralph P. Boas, 16:1, 1985, 42-47, 5.2.1, 5.4.2
Euler's Constant, Frank Burk, 16:4, 1985, 279, C
An Instant Proof of e^pi > pi^e, Norman Schaumberger, 16:4, 1985, 280, C
Using Riemann Sums in Evaluating a Familiar Limit, Frank Burk, 17:2, 1986,
170-171, C, 5.1.1, 5.2.1
The Change of Base Formula for Logarithms, Chris Freiling, 17:5, 1986, 413, C,
0.2
Comparing B^A and A^B for A>B, John Rosendahl and James Gilmore, 18:1, 1987,
50, C
Behold! The Graphs of f and f inverse are Reflections about the Line y=x, Ayoub
B. Ayoub, 18:1, 1987, 52, C, 0.2
A Depreciation Model for Calculus Classes, John C. Hegarty, 18:3, 1987,
219-221, C
The Relationship Between Hyperbolic and Exponential Functions, Roger B. Nelsen,
19:1, 1988, 54-56, C, 5.3.3
An Efficient Logarithm Algorithm for Calculators, James C. Kirby, 19:3, 1988,
257-260, C, 9.6
The Age of the Solar System, Winston Phrobis, 21:5, 1990, 399-400, C
The Snowplow Problem Revisited, Xiao-peng Xu, 22:2, 1991, 139, C, 6.1
FFF #44. A New Way to Obtain the Logarithm, Ed Barbeau, 22:5, 1991, 403, F
Four Crotchets on Elementary Integration, Leroy F. Meyers, 22:5, 1991, 410-413,
C, 5.2.3, 5.2.5, 6.1
FFF #49. Two Transcendental Equations, Ed Barbeau, 23:1, 1992, 36, F, 0.2
The Relationship Between Hyperbolic and Exponential FunctionsRevisited, Roger
B. Nelsen, 23:3, 1992, 207-208, C, 5.3.3
Napier's Inequality (two proofs), Roger B. Nelsen, 24:2, 1993, 165, C
FFF #58. A Rational Combination of Two Transcendentals, Ed Barbeau, 24:3, 1993,
229, F, 0.2
FFF #60. A Two-Valued Function, Ed Barbeau, 24:3, 1993, 230, F, 0.2
An Alternative Definition of the Number e, Carl Swenson and Andre Yandl, 24:5,
1993, 458-461
Another Proof of the Formula e = the infinite sum of reciprocals of n!, Norman
Schaumberger, 25:1, 1994, 38-39, C, 5.1.2
Riemann Sums and the Exponential Function, Sheldon P. Gordon, 25:1, 1994,
39-40, C, 5.2.1
Log Cabin (Lost at C), Paul R. Halmos, 25:1, 1994, 70, C
Proof Without Words: (a+b)/2 is greater than the square root of ab, Michael K.
Brozinsky, 25:2, 1994, 98, C
FFF #95. The Integral of ln sin x, Russ Euler, 27:1, 1996, 44-45, F
A Visual Proof that ln(ab) = ln(a) + ln(b), Jeffrey Ely, 27:4, 1996, 304, C
FFF #115. A Double Exponential Function, Leszek Garwarecki, 28:2, 1997, 120-121, F
A Discover-e, Helen Skala, 28:2, 1997, 128-129, C
In re: e, David Fowler, 28:3, 1997, 230, C
FFF #126. The Wrong Logarithm, Eric Chandler, 29:1, 1998, 35, F
FFF #126. The Wrong Logarithm, Eric Chandler, 29:1, 1998, 35, F (see also 30:2, 1999, 132)
When is bea > aeb?, Norman Schaumberger, 30:4, 1999, 296, C
FFF #149.  Lack of technical unanimity, Carlton A. Lane, 30:4, 1999, 306, F