A) 1
B) 2
C) 1/2
D) ¼
Correct Answer: C
Solution :
Given, \[{{(3.7)}^{x}}={{(0.037)}^{y}}=10000\] \[\Rightarrow \] \[{{(3.7)}^{x}}={{10}^{4}}\] and \[{{(0.037)}^{y}}={{10}^{4}}\] \[\Rightarrow \] \[37={{10}^{\frac{4}{x}+1}}\] and \[37={{10}^{\frac{4}{y}+3}}\] \[{{10}^{\frac{4}{x}+1}}={{10}^{\frac{4}{y}+3}}\] \[\Rightarrow \] \[\frac{1}{x}-\frac{1}{y}=\frac{1}{2}\]You need to login to perform this action.
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