iii) 2log, (4- x) = 4 - log, (- 2 -...
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iii) 2log, (4- x) = 4 - log, (- 2 - x).

JEE/Engineering Exams
Maths
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( Rightarrowleft{begin{array}{l}2 log _{4}(4-x)=4-log _{2}(-2-x) 2 log _{2}(4-x)=4-log _{2}(-2-x)end{array}right. ) ( Rightarrow frac{2}{x} quad log _{2}(4-x)=4-log _{2}(-2-x) ) ( theta ) ( log _{2}(4-x)+log _{2}(-2-x)=4 ) ( Rightarrow ) ( log _{2}((4-x)(-2-x))=log _{2} 16 ) ( Rightarrow quad(-4+x)(2+x)=16 ) ( Rightarrow quad-8-4 x+2 x+x^{2}-16= ) ( quad x^{2}-2 x-24=0 ) ( Rightarrow quad x^{2}-6 x+4 x-24=0 ) ( x(x-6)+4(x-6)=0 ) ( x= )
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