Roboguru

Pertanyaan

Tentukanlah nilai dari: fraction numerator square root of 728 comma 2 end root open parentheses 38 comma 74 close parentheses over denominator open parentheses 0 comma 9576 close parentheses squared open parentheses 8743 close parentheses end fraction 

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai dari fraction numerator square root of 728 comma 2 end root open parentheses 38 comma 74 close parentheses over denominator open parentheses 0 comma 9576 close parentheses squared open parentheses 8743 close parentheses end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1304 end table.

Pembahasan

Ingat kembali sifat bentuk logaritma berikut ini.

  • log presuperscript a space open parentheses b over c close parentheses equals log presuperscript a space b minus log presuperscript a space c 
     
  • log presuperscript a space b c equals log presuperscript a space b plus log presuperscript a space c 
     
  • log presuperscript a space open parentheses b to the power of m close parentheses equals m space open parentheses log presuperscript a space b close parentheses 

Misalkan: M equals fraction numerator square root of 728 comma 2 end root open parentheses 38 comma 74 close parentheses over denominator open parentheses 0 comma 9576 close parentheses squared open parentheses 8743 close parentheses end fraction 

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell log space M end cell equals cell log space open parentheses fraction numerator square root of 728 comma 2 end root open parentheses 38 comma 74 close parentheses over denominator open parentheses 0 comma 9576 close parentheses squared open parentheses 8743 close parentheses end fraction close parentheses end cell row blank equals cell log space square root of 728 comma 2 end root open parentheses 38 comma 74 close parentheses minus log space open parentheses 0 comma 9576 close parentheses squared open parentheses 8743 close parentheses end cell row blank equals cell open parentheses log space 728 comma 2 to the power of 1 half end exponent plus log space open parentheses 38 comma 74 close parentheses close parentheses minus open parentheses log space open parentheses 0 comma 9576 close parentheses squared plus log space open parentheses 8743 close parentheses close parentheses end cell row blank equals cell open parentheses 1 half log space 728 comma 2 plus log space open parentheses 38 comma 74 close parentheses close parentheses minus open parentheses 2 space log space open parentheses 0 comma 9576 close parentheses plus log space open parentheses 8743 close parentheses close parentheses end cell row blank equals cell open parentheses 1 half log space open parentheses 7 comma 282 times 10 squared close parentheses plus log space open parentheses 3 comma 874 times 10 close parentheses close parentheses minus end cell row blank blank cell open parentheses 2 space log space open parentheses 9 comma 576 times 10 to the power of negative 1 end exponent close parentheses plus log space open parentheses 8 comma 743 times 10 cubed close parentheses close parentheses end cell row blank equals cell open parentheses 1 half open parentheses log space 7 comma 282 plus 2 close parentheses plus open parentheses log space 3 comma 874 plus 1 close parentheses close parentheses minus end cell row blank blank cell open parentheses 2 open parentheses log space 9 comma 576 minus 1 close parentheses plus open parentheses log space 8 comma 743 plus 3 close parentheses close parentheses end cell row blank equals cell open parentheses 1 half open parentheses 0 comma 8623 plus 2 close parentheses plus open parentheses 0 comma 5882 plus 1 close parentheses close parentheses minus open parentheses 2 open parentheses 0 comma 9812 minus 1 close parentheses plus open parentheses 0 comma 9417 plus 3 close parentheses close parentheses end cell row blank equals cell open parentheses 1 half open parentheses 2 comma 8623 close parentheses plus open parentheses 1 comma 5882 close parentheses close parentheses minus open parentheses 2 open parentheses negative 0 comma 0188 close parentheses plus 3 comma 9417 close parentheses end cell row blank equals cell 1 comma 4312 plus 1 comma 5882 minus open parentheses negative 0 comma 0376 plus 3 comma 9417 close parentheses end cell row blank equals cell 3 comma 0194 minus open parentheses 3 comma 9041 close parentheses end cell row blank equals cell negative 0 comma 8848 end cell row cell log space M end cell equals cell negative 0 comma 8848 end cell row M equals cell 0 comma 1304 end cell end table end style          

Jadi, nilai dari fraction numerator square root of 728 comma 2 end root open parentheses 38 comma 74 close parentheses over denominator open parentheses 0 comma 9576 close parentheses squared open parentheses 8743 close parentheses end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1304 end table.

9

0.0 (0 rating)

Pertanyaan serupa

Bunga majemuk dirumuskan dengan Mn​=M(1+b)n. Nyatakanlah n dalam Mn​, M dan b.

21

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia