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Pertanyaan

Hasil begin mathsize 14px style fraction numerator log presubscript space presuperscript square root of 3 end presuperscript space 5. space log presubscript space presuperscript 25 invisible function application space 3 square root of 3 minus log presubscript space presuperscript 4 invisible function application space 16 over denominator log presubscript space presuperscript 3 invisible function application space 54 minus log presubscript space presuperscript 3 invisible function application space 2 end fraction end style adalah ....

  1. begin mathsize 14px style negative 9 over 2 end style

  2. begin mathsize 14px style negative 1 over 6 end style

  3. begin mathsize 14px style negative 1 third end style

  4. 3

  5. begin mathsize 14px style 9 over 2 end style

S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Ingat!

log presubscript blank presuperscript straight a to the power of straight q end presuperscript invisible function application space straight b to the power of straight p equals straight p over straight q space log presubscript blank presuperscript straight a space invisible function application straight b space space space space log presubscript blank presuperscript straight a invisible function application space straight b. log presubscript blank presuperscript straight b space invisible function application straight a equals 1 space space space space log presubscript blank presuperscript straight a space invisible function application straight a equals 1 space space space space log presubscript blank presuperscript straight a invisible function application space straight b minus log presubscript blank presuperscript straight a space invisible function application straight c equals log presubscript blank presuperscript straight a space invisible function application straight b over straight c

Sederhanakan bentuk logaritma menjadi basis terendah kemudian gunakan sifat logaritma untuk menyederhanakannya.

space space space fraction numerator log presubscript blank presuperscript square root of 3 end presuperscript space 5. space log presubscript blank presuperscript 25 invisible function application space 3 square root of 3 minus log presubscript blank presuperscript 4 invisible function application space 16 over denominator log presubscript blank presuperscript 3 invisible function application space 54 minus log presubscript blank presuperscript 3 invisible function application space 2 end fraction equals fraction numerator log presubscript blank presuperscript 3 to the power of 1 half end exponent end presuperscript invisible function application space 5. log presubscript blank presuperscript 5 squared end presuperscript invisible function application space 3 to the power of 3 over 2 end exponent minus log presubscript blank presuperscript 2 squared end presuperscript space invisible function application 2 to the power of 4 over denominator log presubscript blank presuperscript 3 invisible function application space 2.3 cubed minus log presubscript blank presuperscript 3 invisible function application space 2 end fraction equals fraction numerator log presubscript blank presuperscript 3 to the power of 1 half end exponent end presuperscript invisible function application space 5. log presubscript blank presuperscript 5 squared end presuperscript invisible function application space 3 to the power of 3 over 2 end exponent minus log presubscript blank presuperscript 2 squared end presuperscript invisible function application space 2 to the power of 4 over denominator log presubscript blank presuperscript 3 invisible function application space 2.3 cubed minus log presubscript blank presuperscript 3 space invisible function application 2 end fraction equals fraction numerator fraction numerator 1 over denominator 1 half end fraction log presubscript blank presuperscript 3 invisible function application space 5. fraction numerator 3 over 2 over denominator 2 end fraction space log presubscript blank presuperscript 5 space invisible function application 3 minus 4 over 2 space log presubscript blank presuperscript 2 space invisible function application 2 over denominator log presubscript blank presuperscript 3 space invisible function application fraction numerator 2.3 cubed over denominator 2 end fraction end fraction equals fraction numerator 3 over 2 space log presubscript blank presuperscript 3 invisible function application space 5. log presubscript blank presuperscript 5 invisible function application space 3 minus 2 log presubscript blank presuperscript 2 invisible function application space 2 over denominator log presubscript blank presuperscript 3 invisible function application space 3 cubed end fraction equals fraction numerator 3 over 2 minus 2 over denominator 3 end fraction equals fraction numerator negative 1 half over denominator 3 end fraction equals negative 1 over 6

Oleh karena itu, jawaban yang benar adalah B.

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