A) \[\frac{{{\log }_{e}}\left( \frac{y}{x} \right)}{{{\log }_{e}}(1+a)}\]
B) \[\log \left\{ \frac{y}{x(1+a)} \right\}\]
C) \[\log \left\{ \frac{y-x}{1+a} \right\}\]
D) \[\frac{\log y}{\log \{x(1+a)\}}\]
Correct Answer: A
Solution :
Since \[x=\frac{y}{{{(1+a)}^{p}}}\] \[\therefore \] \[{{(1+a)}^{p}}=\frac{y}{x}\] or \[p{{\log }_{e}}(1+a)={{\log }_{e}}\frac{y}{x}\] or \[p=\frac{{{\log }_{e}}\left( \frac{y}{x} \right)}{{{\log }_{e}}(1+a)}\]
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