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4 1 lo g 8 3 lo g 36 ⋅ 6 lo g 27 + 2 lo g 16 = …

$\frac{^{3} lo g 36 \cdot ^{6} lo g 27 + ^{2} lo g 16}{^{\frac{1}{4}} lo g 8} = \dots$

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Dengan demikian, .

$fraction numerator log presuperscript 3 space 36 times log presuperscript 6 space 27 plus log presuperscript 2 space 16 over denominator log presuperscript begin display style 1 fourth end style end presuperscript space 8 end fraction equals fraction numerator log presuperscript 3 space open parentheses 6 close parentheses squared times log presuperscript 6 space open parentheses 3 close parentheses cubed plus log presuperscript 2 space open parentheses 2 close parentheses to the power of 4 over denominator log presuperscript begin display style 1 over 2 squared end style end presuperscript space 2 cubed end fraction equals fraction numerator open parentheses 2 times log presuperscript 3 space 6 close parentheses open parentheses 3 times log presuperscript 6 space 3 close parentheses plus open parentheses 4 times log presuperscript 2 space 2 close parentheses over denominator log presuperscript begin display style 2 to the power of negative 2 end exponent end style end presuperscript space 2 cubed end fraction equals fraction numerator 6 open parentheses log presuperscript 3 space 6 times log presuperscript 6 space 3 close parentheses plus open parentheses 4 times log presuperscript 2 space 2 close parentheses over denominator begin display style fraction numerator 3 over denominator negative 2 end fraction times log presuperscript 2 space 2 end style end fraction equals fraction numerator open parentheses 6 cross times 1 close parentheses plus 4 over denominator begin display style fraction numerator 3 over denominator negative 2 end fraction end style end fraction equals open parentheses 6 plus 4 close parentheses cross times fraction numerator negative 2 over denominator 3 end fraction equals 10 cross times fraction numerator negative 2 over denominator 3 end fraction equals negative 20 over 3$

Dengan demikian, $fraction numerator log presuperscript 3 space 36 times log presuperscript 6 space 27 plus log presuperscript 2 space 16 over denominator log presuperscript begin display style 1 fourth end style end presuperscript space 8 end fraction equals negative 20 over 3$ .