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COMEDK2012MathematicsBasics of Mathematics

If 4^ ₉ 3 +9^ ₂ 4 =10^ _ x 83 , then x is equal to

Options

  1. A10
  2. B4
  3. C-10
  4. D-4

Correct answer

A. 10

Step-by-step solution

We have, 4^ ₉ 3+9^ ₂ 4=10^ _ x 83 4^ 1 2 ₃ 3+9^ 2 ₂ 2=10^ _ x 83 2+81=10^ _ x 83 83=10^ _ x 83 ₁₀ 83= _ x 83 x=10

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