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solve for x

solve for x 
 
x= 6/12 (log6√(108)-3log6(2/√3)+1log69+log6128)

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Michael F. | Mathematics TutorMathematics Tutor
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x= 6/12 (log6√(108)-3log6(2/√3)+1log69+log6128)
x=1/2(log6(√(108)×9×128/((2/√3)³))
108=9×12=9×4×3 and (2/√3)³=8/(3√3)
x=1/2log6(3×2×√3×9×128×3√3/8)=1/2log6(3×2×9×9×16)
=1/2log6(7776)=1/2log6(65)=1/2×5=5/2