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AP EAMCET2004MathematicsBasics of Mathematics

If ₂₇ ( ₃ x )= 1 3 , then the value of x is

Options

  1. A3
  2. B6
  3. C9
  4. D27

Correct answer

D. 27

Step-by-step solution

Given that, aligned & & ₂₇ ( ₃ x ) & = 1 3 & & ( ₃ x ) & =(27)^ 1 / 3 [ _a x=b x=a^b ] & & ₃ x & =3 & & x & =(3)^3 x=27 aligned

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