5log2×8log1/9×^√3log125 = 5log2×2³log3⁻²×^3^1/2log5³
= 5log2×(-2/3)×2log3×3/1/2×3log5
= (-2/3)(3×2)5log2×2log3×3log5
= (-2)(2)5log3×3log5
= -4×5log5
= -4×1
= -4
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5log2×8log1/9×^√3log125 = 5log2×2³log3⁻²×^3^1/2log5³
= 5log2×(-2/3)×2log3×3/1/2×3log5
= (-2/3)(3×2)5log2×2log3×3log5
= (-2)(2)5log3×3log5
= -4×5log5
= -4×1
= -4