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JEE Main202117 Mar 2021Morning ShiftMathematicsFunctionsActual

The inverse of y = 5 log x is:

Options

  1. Ax = 5 log y
  2. Bx = y log 5
  3. Cy = x 1 log 5
  4. Dx = 5 1 log y

Correct answer

C. y = x 1 log 5

Step-by-step solution

Given, y = 5 log x y = x log 5       ∴   b log a = a log b y 1 log 5 = x Replacing x → y and y → x x 1 log 5 = y

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