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64. f(x) = log5 (x - 2) 68. f(x) = log₂ (x+3)

64. f(x) = log5 (x - 2) 68. f(x) = log₂ (x+3)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 68, please.

In Exercises 57–72, find the domain of each function. Use your answer to help graph the function, and label all asymptotes and intercepts. 57. \( f(x) = 2 \log x \) 58. \( f(x) = 4 \ln x \) 59. \( f(x) = 4 \log_3 x \) 60. \( f(x) = 3 \log_5 x \) 61. \( g(x) = \log x - 3 \) 62. \( h(x) = \ln x + 2 \) 63. \( f(x) = \log_4 (x + 1) \) 64. \( f(x) = \log_5 (x - 2) \) 65. \( f(x) = \ln (x + 4) \) 66. \( f(x) = \log (x - 3) \) 67. \( g(x) = 2 \log_3 (x - 1) \) 68. \( f(x) = - \log_2 (x + 3) \) 69. \( f(t) = \log_{1/3} t \) 70. \( g(s) = \log_{1/2} s \) 71. \( f(x) = \log |x| \) 72. \( g(x) = \ln (x^2) \)
Transcribed Image Text:In Exercises 57–72, find the domain of each function. Use your answer to help graph the function, and label all asymptotes and intercepts. 57. \( f(x) = 2 \log x \) 58. \( f(x) = 4 \ln x \) 59. \( f(x) = 4 \log_3 x \) 60. \( f(x) = 3 \log_5 x \) 61. \( g(x) = \log x - 3 \) 62. \( h(x) = \ln x + 2 \) 63. \( f(x) = \log_4 (x + 1) \) 64. \( f(x) = \log_5 (x - 2) \) 65. \( f(x) = \ln (x + 4) \) 66. \( f(x) = \log (x - 3) \) 67. \( g(x) = 2 \log_3 (x - 1) \) 68. \( f(x) = - \log_2 (x + 3) \) 69. \( f(t) = \log_{1/3} t \) 70. \( g(s) = \log_{1/2} s \) 71. \( f(x) = \log |x| \) 72. \( g(x) = \ln (x^2) \)
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