Chapter 5

# Lnx 3 3 ln x 5 ln 2x 3 3 ln 2x 6 log a c

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Unformatted text preview:      a)  Graph the function N(t)                        b) Find the average rate of change of the population over the time period  5 ≤ t ≤ 7                          c)  Use your knowledge about the exponential function to compute the  Instantaneous Rate of Change of the population at the instant t = 7 hours                            Logarithmic Functions (5.3)    Recall the general graph of the exponential function  y = 2x .  This function passes the  horizontal line test.  Thus it is one to one and has an inverse.    Procedure for finding the inverse of f(x) or  f −1( x )     In this case  y = f ( x ) = 2x                                               Definition:  The logarithm base b of x, denoted  log b x ,  represents the exponent to  which b must be raised to yield x.      Another words,                 This relationship allows one to convert logarithmic equation to exponential  equation and vice versa.  Ex:  Now let’s sketch the graphs of  y = log 3 x , y = logx and y = lnx on the same set  of axes.  You can figure out th...
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## This note was uploaded on 02/08/2011 for the course MATH 3 taught by Professor Staff during the Winter '08 term at UCSC.

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