# Lesson College Algebra Exam 4HR1 with Solutions by Rapalje

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About rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.

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 COLLEGE ALGEBRA   EXAM 4 HR1    Dr. Robert J. Rapalje, Seminole State College SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER.  Circle answers. TURN IN ALL WORKSHEETS.  CALCULATORS ARE REQUIRED ON THIS TEST. In 1 - 9, solve for the unknown:   1.    log 5 125 = x                     2.                      3.  log 5 1 = x                                              4.                          5.                               6.  log 5 x = − 1       7.  log b 16 = 2                            8.  log 8  4  =  x                            9.  log b  8  =  − 3     In 10 - 14,  simplify completely: 10.    =   ______                11.    =  ______               12.  =    ______ 13.   =  ________      14.   =   _______        15.   =   ______   In 16 - 21, use your calculator (round to nearest hundredth or give scientific notation): 16.   e −7    = _______              17.   ln 6  +  ln 100                      18.   ln (e5 + e7)   19.     6e20 + 9e30                  20.    log 3   75                            21.    –2 ln 8  +  6 ln 75      In 22 - 25,  solve for  x  (Give exact values--you may use calculator methods to check!): 22.    27x + 4 = 9 x −2                                                  23.    12 x  = 7 x + 4         24.    log 5 x = log5 (x + 4) − 2                                  25.    log2 x + log2 (x +2) = 3       26.  The population of a rabbit farm is given by  y = 50 e0.035t, where t is in years.        a)  Estimate the population                     b)  How long will it take the population              in 24 years.                                               to reach 1000?           27.       The population of a city in 1975 was 30,000.  In 1978, the population was 39,000.  a)  Assuming that ,               b)  Use this value of k to predict the       find the value of k.                           population of the city in 2005.                 c)  How many years does it take the population to double?         COLLEGE ALGEBRA    EXAM 4    HR1 Solutions

 Dr. Robert J. Rapalje Altamonte Springs Campus Contact me at: Phone number:  NONE Retired!! OFFICE:          NONE Copyright © Seminole State College of Florida, 1997

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