A) 4
B) 9
C) 10
D) 11
Correct Answer: C
Solution :
Given, \[_{4}{{\log }_{3}}{{3}^{1/2}}{{+}_{9}}{{\log }_{2}}{{2}^{2}}{{=}_{10}}{{\log }_{x}}83\] \[\Rightarrow \] \[\frac{4}{2}+{{9}^{2}}{{=}_{10}}{{\log }_{x}}83\] \[[\because {{\log }_{a}}a=1]\] \[\Rightarrow \] \[2+81{{=}_{10}}{{\log }_{x}}83\] \[\Rightarrow \] \[83{{=}_{10}}{{\log }_{x}}83\] \[\Rightarrow \] \[x=10\]
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