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Pertanyaan

Nilai dari 2 lo g ( 8 1 ​ ) + 3 lo g ( 9 1 ​ ) + 5 lo g ( 125 1 ​ ) adalah ....

Nilai dari  adalah 

  1. negative 8 space

  2. negative 7 space

  3. negative 6 space

  4. negative 5 space

  5. negative 4 space

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R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

jawaban yang benar adalah A.

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Pembahasan

Diketahui berdasarkan sifat logaritma maka Berdasarkan sifat logaritma dan maka diperoleh Oleh karena itu, jawaban yang benar adalah A.

Diketahui scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 comma berdasarkan sifat logaritma scriptbase log open parentheses bevelled 1 over b close parentheses equals negative log presuperscript a open parentheses b close parentheses end scriptbase presuperscript a maka

table attributes columnalign right center left columnspacing 0px end attributes row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative scriptbase log open parentheses 8 close parentheses minus end scriptbase presuperscript 2 scriptbase log open parentheses 9 close parentheses minus end scriptbase presuperscript 3 scriptbase log open parentheses 125 close parentheses end scriptbase presuperscript 5 end cell row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative scriptbase log open parentheses 2 cubed close parentheses minus end scriptbase presuperscript 2 scriptbase log open parentheses 3 squared close parentheses minus end scriptbase presuperscript 3 scriptbase log open parentheses 5 cubed close parentheses end scriptbase presuperscript 5 end cell end table


Berdasarkan sifat logaritma scriptbase log open parentheses b to the power of m close parentheses equals m cross times log presuperscript a open parentheses b close parentheses end scriptbase presuperscript a dan log presuperscript a open parentheses a close parentheses equals 1 maka diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative scriptbase log open parentheses 2 cubed close parentheses minus end scriptbase presuperscript 2 scriptbase log open parentheses 3 squared close parentheses minus end scriptbase presuperscript 3 scriptbase log open parentheses 5 cubed close parentheses end scriptbase presuperscript 5 end cell row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative 3 cross times scriptbase log open parentheses 2 close parentheses minus 2 cross times end scriptbase presuperscript 2 scriptbase log open parentheses 3 close parentheses minus end scriptbase presuperscript 3 3 cross times scriptbase log open parentheses 5 close parentheses end scriptbase presuperscript 5 end cell row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative 3 cross times 1 negative 2 cross times 1 minus 3 cross times 1 end cell row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative 3 minus 2 minus 3 end cell row cell scriptbase log open parentheses bevelled 1 over 8 close parentheses plus end scriptbase presuperscript 2 scriptbase log open parentheses bevelled 1 over 9 close parentheses plus end scriptbase presuperscript 3 scriptbase log open parentheses bevelled 1 over 125 close parentheses end scriptbase presuperscript 5 end cell equals cell negative 8 end cell end table


Oleh karena itu, jawaban yang benar adalah A.

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Hitunglah hasil logaritma berikut ini. b. 2 lo g 16 − 3 lo g 81 1 ​ + 2 3 lo g 5 5 ​

39

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