Pertanyaan

Hasil adalah ...

Hasil $begin mathsize 14px style fraction numerator blank to the power of 9 log space 8. to the power of 16 log space 27 minus to the power of square root of 5 end exponent log space 25 over denominator blank cubed log space 9 plus cubed log space begin display style 1 over 27 end style end fraction end style$ adalah ...

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style fraction numerator log presubscript space presuperscript 9 space invisible function application 8. log presubscript space presuperscript 16 space invisible function application 27 minus log presubscript space presuperscript square root of 5 end presuperscript space invisible function application 25 over denominator log presubscript space presuperscript 3 space invisible function application 9 plus log presubscript space presuperscript 3 space invisible function application open parentheses 1 over 27 close parentheses end fraction equals fraction numerator log presubscript space presuperscript 3 squared end presuperscript space invisible function application 2 cubed. log presubscript space presuperscript 2 to the power of 4 end presuperscript space invisible function application 3 cubed minus log presubscript space presuperscript 5 to the power of 1 half end exponent end presuperscript space invisible function application 5 squared over denominator log presubscript space presuperscript 3 space invisible function application 3 squared plus log presubscript space presuperscript 3 space invisible function application 3 to the power of negative 3 end exponent end fraction equals fraction numerator 3 over 2. log presubscript space presuperscript 3 space invisible function application 2.3 over 4. log presubscript space presuperscript 2 space invisible function application 3 minus fraction numerator 2 over denominator begin display style 1 half end style end fraction. log presubscript space presuperscript 5 space invisible function application 5 over denominator 2. log presubscript space presuperscript 3 space invisible function application 3 plus open parentheses negative 3 close parentheses log presubscript space presuperscript 3 space invisible function application 3 end fraction equals fraction numerator 9 over 8 log presubscript space presuperscript 3 space invisible function application 2. log presubscript space presuperscript 2 space invisible function application 3 minus 4 log presubscript space presuperscript 5 space invisible function application 5 over denominator 2 minus 3 end fraction equals fraction numerator 9 over 8 minus 4 over denominator negative 1 end fraction equals 23 over 8 end style$