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MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function

Mymensingh Board 2023

The function f(x) = ln(x − 2)- Which of the following is correct?

  1. i. is a logarithmic function
  2. ii. is defined for x > 2
  3. iii. has range R_f = (0, ∞)

Think it through first, then pick an option.

  1. a i and ii
  2. b i and iii
  3. c ii and iii
  4. d i, ii and iii
Answer and explanation

Correct answer: a i and ii

i and ii are true and iii is false: the range is R, not (0, ∞). This option is right.

Why the other options are wrong

  • b i and iii: iii is false: the range of ln(x − 2) is R; so i and iii together are not right.
  • c ii and iii: iii is false (the range is R); so ii and iii together are not right.
  • d i, ii and iii: iii is false: the range is (−∞, ∞); the three are not all true.