(ix)a E-10. (0) Find the real value of 'x' satisfying the equation x0.5log f(x*-*) = 3log, 4. laden X+ 2 1 log10 X+2

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( begin{aligned} frac{a-5 log _{sqrt{x}}left(x^{2}-xright)}{x} &=3^{log _{9} 4} &=frac{log _{3} 24}{log _{3} 2} &=3 end{aligned} ) ( =2 ) 7 ( log _{x}left(x^{2}-xright)=log _{x} 2 ) ( 2=x^{2}-x ) ( x^{2}-x-2=0 ) ( x=pm 2,-1 ) ( x=-1 ) is not valid does nd exist ( sqrt{x} ) ( 8 x^{2}-x=0 )

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