22. (A) 1 The increasing order of t...
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22. (A) 1 The increasing order of the following A=log, logĄ 2, B = log, 6472, C=log. 32, D=glog: 2 (B) A,C,B,D (A) A,B,C,D (C) A,C,D,B ic

JEE/Engineering Exams
Maths
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( A=log _{2} log _{4} 2 ) ( =log _{2} log _{2} 2 ) ( =log _{2}left(frac{1}{2} mid log _{2} 2right) ) ( =log _{2} frac{1}{2} quadleft(because cdot log _{a} a=1right) ) ( =log _{2} 2^{-1}=-1 log _{2} 2=-1 ) ( B=log _{sqrt{2}} 64 sqrt{2} ) ( =log _{2}(sqrt{2})^{13}=13 log _{2} 2=13 ) ( c=log _{8} 32 ) ( =log _{2 / 2} 2^{5}=frac{2}{3} times 5 log 2=frac{10}{3} ) ( D=frac{9^{log _{3} 2}}{=} 3^{2 log _{3} 2}=3^{log _{3} 2^{2}}=2^{2}=4 ) Increasing order ( Rightarrow A
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