MAT-261 Chapter Notes - Chapter 5: Exponentiation, Natural Logarithm, List Of Forgotten Realms Nations
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5. 2 the natural logarithmic function notes: sterling. This would be towards base a with the following: a > 0 a 6= 1 y = logax. Domain y is the logarithm to the base, a, of x y = logax x = ay x > 0. 0 < a < 1 a > 1 (1, 0) (a, 1) (cid:18) 1 a. Natural logarithm function y = ln (x) x = ey y = log (x) = log10 (x) x = 10y. 5. 3 the natural exponential function notes: sterling. , a 6= 0 am an = am+n (am)n = am n = amn (ab)m = ambm (ambn)p = am pbn p = ampbnp am an. = am n a0 = 1 f (x) = cax. Initial value a : base a : p ositive real n umber (a > 0) a 6= 1. All real n umbers a : growth f actor f (0) = ca0 = c (1) = c.
