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Hasil 6log 36−6log 66​6log 27⋅3log 36−4log 641​​ adalah ...

Pertanyaan

Hasil fraction numerator blank to the power of 6 log space 27 times cubed log space 36 minus to the power of 4 log space begin display style 1 over 64 end style over denominator blank to the power of 6 log space 36 minus to the power of 6 log space 6 square root of 6 end fraction adalah ... 

  1. 30 

  2. 15 

  3. 27 over 2 

  4. 15 over 2 

  5. 6 

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

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Pembahasan

Ingat 

  • blank to the power of a log space b times to the power of b log space c equals to the power of a log space c 
  • blank to the power of a log space b to the power of m equals m times to the power of a log space b 

Perhatikan perhitungan berikut 

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator space to the power of 6 log space 27 times cubed log space 36 minus to the power of 4 log space begin display style 1 over 64 end style over denominator space to the power of 6 log space 36 minus to the power of 6 log space 6 square root of 6 end fraction end cell row blank equals cell fraction numerator blank to the power of 6 log space 3 cubed times cubed log space 6 squared minus to the power of 4 log space begin display style 4 to the power of negative 3 end exponent end style over denominator blank to the power of 6 log space 2 squared minus to the power of 6 log space 6 to the power of begin display style 3 over 2 end style end exponent end fraction end cell row blank equals cell fraction numerator 3 times open parentheses blank to the power of 6 log space 3 close parentheses times 2 times open parentheses blank cubed log space 6 close parentheses minus open parentheses negative 3 close parentheses times to the power of 4 log space begin display style 4 end style over denominator 2 times to the power of 6 log space 6 minus begin display style 3 over 2 end style times to the power of 6 log space 6 end fraction end cell row blank equals cell fraction numerator 6 times to the power of 6 log space 3 times cubed log space 6 plus 3 times 1 over denominator 2 times 1 minus begin display style 3 over 2 end style times 1 end fraction end cell row blank equals cell fraction numerator 6 times to the power of 6 log space 6 plus 3 over denominator 2 minus begin display style 3 over 2 end style end fraction end cell row blank equals cell fraction numerator 6 times 1 plus 3 over denominator 2 minus begin display style 3 over 2 end style end fraction end cell row blank equals cell fraction numerator 6 plus 3 over denominator begin display style 4 over 2 end style minus begin display style 3 over 2 end style end fraction end cell row blank equals cell fraction numerator 9 over denominator begin display style 1 half end style end fraction end cell row blank equals 18 end table    

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