Simplify logo.75 log2 0.125
Question
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Simplify logo.75 log2 0.125

JEE/Engineering Exams
Maths
Solution
155
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( begin{array}{l}quad log _{frac{3}{4}}left(log _{2} frac{1}{(0.125)^{1 / 4}}right) =log _{frac{3}{4}}left(log _{2}(0.125)^{-1 / 4}right) =log _{frac{3}{4}}left(log _{2}(0.5)^{-3 / 4}right) =-log _{frac{3}{4}}left(log _{2}left(frac{52)}{4}right)^{frac{3}{4}}right. =log _{3 / 4}left(frac{-3}{4} times log _{2}(25)right. = & log _{3 / 4}left(-frac{3}{4} log _{2} 2^{-1}right) = & log _{3 / 4} 3 / 4 = & =pm text { Alusi }end{array} )
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