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If x a, a x and b x are in G.P, then what is x equal to?

Options

  1. A_ a ( _ b a )
  2. B_b ( _ a a )
  3. C_a ( _b a ) 2
  4. D_b ( _a b ) 2

Correct answer

C. _a ( _b a ) 2

Step-by-step solution

x a, a x, b x are in G.P. (a^x )^2= _x a _b x (a^x )^2= a x x b a^ 2 x = a b = _b a Taking log with base a _a a^ 2 x = _a ( _b a )2 x= _a ( _b a )x= _a ( _b a ) 2 3

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