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# Natural Logs Nov 12

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### Natural Logs Nov 12

1. 1. Using calculator evaluate each function for the  following values of "n" a)  f(1)  and g(1) b) f(10) and g(10) c)  f(100)  and g(100) d)  f(1000)  and  g(1000) e)  f(10000)   and g(10000)
2. 2. The natural exponential function x f(x) = e
3. 3. The inverse of the exponential function y = ex is given by  y = logex But as a natural logarithm it is written as y = ln x
4. 4. The Exponential Function x f(x) = e The Natural Logarithm ln (x)   = loge x "el en of x"
5. 5. Expand ln x2 y3 z
6. 6. Write as a single logarithm ln(x ­ 1) + 3ln(x + 1) ­ 1 ln(x2 + 2) 2
7. 7. x x+1 Solve for x: e  = 2 ln e = 1
8. 8. Exercise 26 Omit #7 and #8 But, do the rest!!