A) 0
B) 12
C) 128
D) 512
Correct Answer: D
Solution :
(d): \[\text{lo}{{\text{g}}_{2}}\left[ \text{lo}{{\text{g}}_{3}}\left( \text{lo}{{\text{g}}_{2}}x \right) \right]=1=\text{lo}{{\text{g}}_{2}}2\] \[\Leftrightarrow {{\log }_{3}}\left( {{\log }_{2}}x \right)=2\Leftrightarrow {{\log }_{2}}x={{3}^{2}}=9\] \[\Leftrightarrow x={{2}^{9}}=512\]
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