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CAT 2025 Slot 3 — QA Question 7

LogarithmsMedium

The sum of all possible real values of xx for which log⁡x−3(x2−9)=log⁡x−3(x+1)+2\log _ { x - 3 } \left( x ^ { 2 } - 9 \right) = \log _ { x - 3 } ( x + 1 ) + 2, is

Answer & solution

Correct answer: \( \frac { 3 + \sqrt { 33 } } { 2 } \)

  • A
    −3- 3
  • B
    33\sqrt { 33 }
  • 3+332\frac { 3 + \sqrt { 33 } } { 2 }
  • D
    33

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CAT 2025 Slot 3 QA Q7 — Logarithms solution | TheCATExam