A) \[\frac{1}{5}\]
B) \[-\frac{1}{5}\]
C) \[\frac{2}{5}\]
D) \[-\frac{2}{5}\]
Correct Answer: D
Solution :
\[{{2}^{x}}\times {{({{2}^{3}})}^{\frac{1}{5}}}={{2}^{\frac{1}{5}}}\] \[{{2}^{x}}\times {{2}^{\frac{3}{5}}}={{2}^{\frac{1}{5}}}\Rightarrow {{2}^{\left( x+\frac{3}{5} \right)}}={{2}^{\frac{1}{5}}}\] \[x+\frac{3}{5}=\frac{1}{5}\] \[\Rightarrow \]\[x=\left( \frac{1}{5}-\frac{3}{5} \right)=\frac{-2}{5}\]
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