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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.

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 ​

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