A) 1
B) \[\sqrt{6}\]
C) \[\sqrt[3]{6}\]
D) \[\sqrt[6]{6}\]
Correct Answer: C
Solution :
We have, \[{{(6x)}^{6}}={{6}^{{{2}^{3}}}}\] \[\Rightarrow {{x}^{6}}=\frac{{{6}^{8}}}{{{6}^{6}}}\Rightarrow {{x}^{6}}={{6}^{8-6}}={{6}^{2}}\] \[\Rightarrow {{({{x}^{6}})}^{1/6}}={{({{6}^{2}})}^{1/6}}\Rightarrow x={{(6)}^{1/3}}\]You need to login to perform this action.
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