Hasil 6log 36−6log 666log 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 ...

$30$
$15$
$\frac{27}2$
$\frac{15}2$
$6$

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

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Pembahasan

Ingat

${}^a\log\;b\cdot^b\log\;c=^a\log\;c$
${}^a\log\;b^m=m\cdot^a\log\;b$

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$

Dengan demikian, tidak ada jawaban yang benar.