A) \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\]
B) \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\]
C) \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\]
D) \[\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\]
Correct Answer: B
Solution :
The system of simultaneous equations \[{{6}^{x}}={{(2\times 3)}^{x}}={{2}^{x}}\times {{3}^{x}}\]and \[\Rightarrow \], have exactly one (unique) solution if \[{{6}^{x}}\].
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