Roboguru
SD

Hasil dari  adalah ...

Pertanyaan

Hasil dari fraction numerator log subscript 5 space square root of 32 times log subscript 2 space 9 times log subscript 3 space begin display style 1 over 25 end style over denominator log subscript square root of 2 end subscript space 28 minus log subscript square root of 2 end subscript space 7 end fraction adalah ...space 

  1. negative 5 over 8 

  2. negative 5 over 4 

  3. negative 5 over 2 

  4. 5 over 2 

  5. 5 over 4 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat!

table attributes columnalign right center left columnspacing 0px end attributes row cell scriptbase log space straight a end scriptbase presuperscript straight a end cell equals 1 row cell scriptbase log space b end scriptbase presuperscript straight a times scriptbase log space c end scriptbase presuperscript b end cell equals cell scriptbase log space c end scriptbase presuperscript straight a end cell row cell scriptbase log space b to the power of n end scriptbase presuperscript a to the power of m end presuperscript end cell equals cell n over m scriptbase log space b end scriptbase presuperscript straight a end cell row cell log presuperscript straight a space b minus scriptbase log space c end scriptbase presuperscript straight a end cell equals cell scriptbase log space b over c end scriptbase presuperscript straight a end cell end table 

Maka, hasil dari fraction numerator scriptbase log space square root of 32 end scriptbase presuperscript 5 times scriptbase log space 9 end scriptbase presuperscript 2 times scriptbase log space begin display style 1 over 25 end style space end scriptbase presuperscript 3 over denominator scriptbase log space 28 end scriptbase presuperscript square root of 2 end presuperscript minus scriptbase log space 7 end scriptbase presuperscript square root of 2 end presuperscript end fraction adalah:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator scriptbase log space square root of 32 end scriptbase presuperscript 5 times scriptbase log space 9 end scriptbase presuperscript 2 times scriptbase log space begin display style 1 over 25 end style space end scriptbase presuperscript 3 over denominator scriptbase log space 28 end scriptbase presuperscript square root of 2 end presuperscript minus scriptbase log space 7 end scriptbase presuperscript square root of 2 end presuperscript end fraction end cell row blank equals cell fraction numerator scriptbase log space square root of 2 to the power of 5 end root end scriptbase presuperscript 5 times scriptbase log space 3 squared end scriptbase presuperscript 2 times scriptbase log space begin display style 1 over 5 squared end style space end scriptbase presuperscript 3 over denominator scriptbase log space 28 end scriptbase presuperscript square root of 2 end presuperscript minus scriptbase log space 7 end scriptbase presuperscript square root of 2 end presuperscript end fraction end cell row blank equals cell fraction numerator scriptbase log space 2 to the power of begin display style 5 over 2 end style end exponent end scriptbase presuperscript 5 times scriptbase log space 3 squared end scriptbase presuperscript 2 times scriptbase log space begin display style 5 to the power of negative 2 end exponent end style space end scriptbase presuperscript 3 over denominator scriptbase log space 28 end scriptbase presuperscript 2 to the power of begin display style 1 half end style end exponent end presuperscript minus scriptbase log space 7 end scriptbase presuperscript blank presuperscript 2 to the power of 1 half end exponent end presuperscript end presuperscript end fraction end cell row blank equals cell fraction numerator 5 over 2 times scriptbase log space 2 end scriptbase presuperscript 5 times 2 times scriptbase log space 3 end scriptbase presuperscript 2 times open parentheses negative 2 close parentheses times scriptbase log space begin display style 5 end style space end scriptbase presuperscript 3 over denominator scriptbase log space begin display style 28 over 7 end style end scriptbase presuperscript 2 to the power of begin display style 1 half end style end exponent end presuperscript end fraction end cell row blank equals cell fraction numerator 5 over 2 times 2 times open parentheses negative 2 close parentheses scriptbase log space 2 end scriptbase presuperscript 5 times scriptbase log space 3 end scriptbase presuperscript 2 times scriptbase log space begin display style 5 end style space end scriptbase presuperscript 3 over denominator scriptbase log space begin display style 4 end style end scriptbase presuperscript 2 to the power of begin display style 1 half end style end exponent end presuperscript end fraction end cell row blank equals cell fraction numerator open parentheses negative 10 close parentheses scriptbase log space begin display style 5 end style space end scriptbase presuperscript 5 over denominator scriptbase log space 2 squared end scriptbase presuperscript 2 to the power of begin display style 1 half end style end exponent end presuperscript end fraction end cell row blank equals cell fraction numerator open parentheses negative 10 close parentheses times 1 over denominator 4 times scriptbase log space 2 space end scriptbase presuperscript 2 end fraction end cell row blank equals cell fraction numerator negative 10 over denominator 4 times 1 end fraction end cell row blank equals cell negative 10 over 4 end cell row blank equals cell negative 5 over 2 end cell end table 

Sehingga, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator scriptbase log space square root of 32 end scriptbase presuperscript 5 times scriptbase log space 9 end scriptbase presuperscript 2 times scriptbase log space begin display style 1 over 25 end style space end scriptbase presuperscript 3 over denominator scriptbase log space 28 end scriptbase presuperscript square root of 2 end presuperscript minus scriptbase log space 7 end scriptbase presuperscript square root of 2 end presuperscript end fraction end cell end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 over 2 end cell end table.

Jadi, jawaban yang tepat adalah C.

38

0.0 (0 rating)

Pertanyaan serupa

Hasil dari  adalah ....

29

5.0

Jawaban terverifikasi

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

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