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KVPY2011MathematicsQuadratic Equation

Below are four equations in x . Assume that 0 < r < 4 . Which of the following has the largest solution for x ?

Options

  1. A5 (1+ r )^ x =9
  2. B5 (1+ r 17 )^ x =9
  3. C5(1+2 r)^ x =9
  4. D5 (1+ 1 r )^ x =9

Correct answer

B. 5 (1+ r 17 )^ x =9

Step-by-step solution

Given 0 < r < 4 in the given options ( Base )^ x = 9 5 for largest value of x , base should be minimum. in option B base (1+ r 17 ) is minimum for 0 < r < 4 .

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