Test 3 Review.docx - MATH 1314 – TEST#3 REVIEW – CHAPTER 4 1 Graph f(x and g(x on the same grid Use transformations of f(x to get g(x Determine the

Test 3 Review.docx - MATH 1314 – TEST#3 REVIEW –...

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MATH 1314 – TEST #3 REVIEW – CHAPTER 4 1. Graph f(x) and g(x) on the same grid. Use transformations of f(x) to get g(x). Determine the domain and range for g(x). a) f(x) = 2 x g(x) = 2 x–1 b) f(x) = 2 x g(x) = 2 x – 1 c) f(x) = 2 x g(x) = –2 x d) f(x) = log 2 x g(x) = log 2 (x – 2) e) f(x) = log 2 x g(x) = log 2 x – 1 f) f(x) = log 2 x g(x) = log 2 (–x) 2. Suppose that you have $5000 to invest. Which investment yields the greater return over 5 years? Investment A: 5.5% compounded semiannually Investment B: 5.25% compounded monthly 3. Write each equation in exponential form: a) log 49 7 = ½ b) log 2 x = 3 c) log 3 81 = y 4. Write each equation in logarithmic form: a) 6 3 = 216 b) b 4 = 625 c) 13 y = 874 5. Evaluate each expression without using a calculator (using log properties): a) log 4 64 b) log 17 17 c) log 3 3 8 d) ln e 5 6. Find the domain of each logarithmic function. Write your answers in interval notation. a) f(x) = log 8 (x + 5) b) f(x) = log (3 – x) 7. Use properties of logs to expand each log expression as much as possible: a) log 6 (36x 3 ) b) log 4 64 x c) log 2 2 xy z
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d) ln 3 x e 8. Use properties of logs to condense each log expression as much as possible: a) log37 + log33b) log 5 – 5 log xc) 3 ln x + 4 ln yd) ½ ln x – ln y 9. Use the change of base formula to evaluate the following to 4 decimal places: a) log 6 72348 b) log 4 0.863
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