Solne Inequality : - 16* 30.125
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Solne Inequality : - 16* 30.125

11th - 12th Class
Maths
Solution
130
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( 16^{x}>0.125 ) ( Rightarrowleft(2^{4}right)^{x}>frac{125}{1000} ) ( Rightarrow 2^{4 x}>left(frac{5}{10}right)^{3} ) ( 72^{4 x}>frac{1}{2^{3}} ) ( 72^{4 x+3}>1 ) Taking log both sides i ( log _{10} 2^{(4 x+3)}>operatorname{tog} 1 ) ( left.x^{*} quad Rightarrow quad 4 x+3 log _{10} 2rightrangle 0 ) 173 ( x y-frac{3}{4} quad ) Ans
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