MAT133Y1 Lecture Notes - Lecture 1: Effective Interest Rate
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MAT133Y1 Full Course Notes
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Mat133y1y - lecture 1 - review on exponentials and logarithms and chapter 5. 1: Let b be a positive fixed number. (b > 0). Everything in between (ie. the ) are x factors. For instance: bx1+x2 = bx1b: bx2b = bx1 bx2. Bx still has a value for any x value (x must be a real number). Note: y= bx is an exponential function, but y=xb is a power function (power functions can be negative, exponential functions cannot be negative). Exponential functions are much different than an exponential function. Only positive x have logarithms: also b(logbx) = x and logb(bx) = x. 1. logb = (x1 x2) = logbx1 + logb x2. 4. logb(xr) = r logbx . (x>0, r is any real number). Almost always we use e (which is approximately 2. 718) instead of b. e is the base of natural logarithms.
