NDA2023MathematicsBasics of MathematicsActual
If x a, a x and b x are in G.P, then what is x equal to?
Options
- A_ a ( _ b a )
- B_b ( _ a a )
- C_a ( _b a ) 2
- 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