Pertanyaan

Hasil dari 9 1 lo g 27 3 lo g 36. 6 lo g 81 + 4 lo g 32 adalah....

Hasil dari $\frac{^{3} lo g 36. ^{6} lo g 81 + ^{4} lo g 32}{^{\frac{1}{9}} lo g 27}$ adalah....

11
7
4
-7
-11

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

$I n g a t space k e m b a l i space s i f a t space log a r i t m a space b e r i k u t space i n i space colon log presubscript space presuperscript a invisible function application b space. space log presubscript space presuperscript b invisible function application c equals log presubscript space presuperscript a invisible function application c log presubscript space presuperscript a invisible function application a equals 1 M a k a fraction numerator log presubscript space presuperscript 3 invisible function application 36 space. space log presubscript space presuperscript 6 invisible function application 81 plus log presubscript space presuperscript 4 invisible function application 32 over denominator log presubscript space presuperscript 1 fourth end presuperscript invisible function application 27 end fraction space space space equals fraction numerator log presubscript space presuperscript 3 invisible function application 6 squared space. space log presubscript space presuperscript 6 invisible function application 3 to the power of 4 plus log presubscript space presuperscript 2 squared end presuperscript invisible function application 2 to the power of 5 over denominator log presubscript space presuperscript 3 to the power of negative 2 end exponent end presuperscript invisible function application 3 cubed end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 2 close parentheses open parentheses 4 close parentheses log presubscript space presuperscript 3 invisible function application 6 space. space log presubscript space presuperscript 6 invisible function application 3 plus 5 over 2 log presubscript space presuperscript 2 invisible function application 2 over denominator negative 3 over 2 log presubscript space presuperscript 3 invisible function application 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 8 open parentheses 1 close parentheses plus 5 over 2 open parentheses 1 close parentheses over denominator negative 3 over 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 7$