where, for example, 5! = 5x4x3x2x1 and 0! = 1. My calculator carries the summation out to the 10th term.
Rounding to 4 decimal places, e = 2.7183. e has a few nice properties, especially when it comes to calculus. It is the base of choice of real math wizards. The common notation for the log of x with base e is ln x.
ln(ab) = ln(a) + ln(b)
ln(a/b) = ln(a) - ln(b)
ln(xy) = (y)ln(x)
ln(xa/yb) = (a)ln(x) - (b)ln(y)
eln(x) = x
If xa = yb and we want to solve for x, we have:
(a)ln(x) = (b)ln(y) ln(x) = (b/a)ln(y) x = y(b/a)
Algebra: Logarithm Help
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