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Pertanyaan

Hasil dari begin mathsize 14px style fraction numerator log presuperscript 6 space 27 times log presuperscript square root of 3 end presuperscript space 36 minus log presuperscript 4 space begin display style 1 over 64 end style over denominator log presuperscript 6 space 36 minus log presuperscript 6 space 6 square root of 6 end fraction end style adalah ....

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

 Hasil dari  Error converting from MathML to accessible text.  adalah bold 30.

Pembahasan

Ingat kembali sifat-sifat logaritma:

begin mathsize 14px style log presuperscript straight a space straight b times log presuperscript straight b space straight c equals log presuperscript straight a space straight c log presuperscript straight a space straight b minus log presuperscript straight a space straight c equals log presuperscript straight a space open parentheses straight b over straight c close parentheses log presuperscript straight a space straight b to the power of straight m equals straight m times log presuperscript straight a space straight b end style 

Maka:

fraction numerator log presuperscript 6 space 27 times log presuperscript square root of 3 end presuperscript space 36 minus log presuperscript 4 space begin display style 1 over 64 end style over denominator log presuperscript 6 space 36 minus log presuperscript 6 space 6 square root of 6 end fraction equals fraction numerator log presuperscript 6 space 3 cubed times log presuperscript 3 to the power of begin display style 1 half end style end exponent end presuperscript space 6 squared minus log presuperscript 2 squared end presuperscript space begin display style 2 to the power of negative 6 end exponent end style over denominator log presuperscript 6 space 6 squared minus log presuperscript 6 space 6 times 6 to the power of begin display style 1 half end style end exponent end fraction equals fraction numerator 3 times log presuperscript 6 space 3 times begin display style fraction numerator 2 over denominator begin display style 1 half end style end fraction end style log presuperscript 3 space 6 minus open parentheses begin display style fraction numerator negative 6 over denominator 2 end fraction end style close parentheses times log presuperscript 2 space begin display style 2 end style over denominator log presuperscript 6 space 6 squared minus log presuperscript 6 space 6 to the power of begin display style 3 over 2 end style end exponent end fraction equals fraction numerator 3 times 4 times log presuperscript 6 space 3 times log presuperscript 3 space 6 plus 3 times 1 over denominator log presuperscript 6 space begin display style 6 squared over 6 to the power of begin display style 3 over 2 end style end exponent end style end fraction equals fraction numerator 12 times log presuperscript 6 space 6 plus 3 over denominator log presuperscript 6 space 6 to the power of begin display style 1 half end style end exponent end fraction equals fraction numerator 12 times 1 plus 3 over denominator begin display style 1 half end style times log presuperscript 6 space 6 end fraction equals fraction numerator 12 plus 3 over denominator begin display style 1 half end style times 1 end fraction equals fraction numerator 15 over denominator begin display style 1 half end style end fraction equals 30  

Jadi, Hasil dari  Error converting from MathML to accessible text.  adalah bold 30.

29

5.0 (2 rating)

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Hasil 3log 36 − 3log 43log 25 × 5log 81 + 4log 2​ adalah ...

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