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Pg. 293/301 Homework

Pg. 293/301 Homework. Pg. 301 #23 – 51 odd #29 3log 2 x + 2log 2 y #31 2log a x – 3log a y #33 log5000 + log x + 360log(1+ r ) #35 Graph #37 Graph #39 f(x) → 1, f(x) → 1 #41 f(x) → 1, no Left EB #1 D: (0, ∞); R: (-∞, ∞) #3 D: (0, ∞); R: (-∞, ∞) #5 D: (0, ∞); R: (-∞, ∞)

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Pg. 293/301 Homework

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  1. Pg. 293/301 Homework • Pg. 301#23 – 51 odd • #29 3log2x + 2log2y #31 2logax – 3logay • #33 log5000 + log x + 360log(1+r) #35 Graph • #37 Graph #39 f(x) → 1, f(x) → 1 • #41 f(x) → 1, no Left EB #1 D: (0, ∞); R: (-∞, ∞) • #3 D: (0, ∞); R: (-∞, ∞) #5 D: (0, ∞); R: (-∞, ∞) • #7 Graph #9 x = -5 • #11 x = 2 #13 x = -3/2 • #15 x = 4 #17 D: (0.5, ∞); R: (-∞, ∞) • #19 D: (-∞, 3); R: (-∞, ∞)

  2. 5.4 Logarithmic Functions and Their Properties Properties

  3. 5.4 Logarithmic Functions and Their Properties Rewrite the following Logarithms The Nature of Logarithms Why do we deal with positive x values when dealing with logs? What information do we always know about a log? What does the parent function of a log look like? Compare that to the parent function of an exponential.

  4. 5.5 Graphs of Logarithmic Functions Graphing Logarithms Prove it! • In order to graph a logarithm in your calculator, you must use the change of base formula:

  5. 5.5 Graphs of Logarithmic Functions Transitions Graph the following Logarithms State the transitions and/or reflections that occur and the domain and range. • The graph of any logarithmic function of the form y = alogb(cx + d) + kcan be obtained by applying geometric transformations to the graph of y = logbx

  6. 5.3 Effective Rates and Annuities • A $250,000 mortgage for 30 years at 6% APR. What will the monthly payments be? • Suppose you make the required monthly payments for that same $250,000 mortgage for 12 years and then make payments of $3500.00 until the loan is paid. In how many years total will the mortgage be completely paid?

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