Surds and Indices - Arithmetic Aptitude Questions and Answers

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If\( [\frac { a } { b }]^X-1\)=\([\frac { b} { a }] ^X-3\), then the value of x is

\( [\frac { 1 } { 2 } ]\)

\([\frac { 7 } { 2 } ]\)

Answer : Option C

Explanation :

Given ^{\( [\frac { a } { b } ]^X-1\)= _{\([\frac {b} {a}]^X-3 \)}}

^{\( [\frac { a } { b } ]^X-1\)}^{=\( [\frac { a } { b }]^(X-3)\)}=\([\frac {a } { b } ]^(3-X)\)