Dengan menggunakkan sifat-sifat logaritma, maka: Oleh karena itu, jawaban yang benar adalah D.

Nilai dari

Nilai dari adalah

Pembahasan Soal:

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

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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