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Nilai dari adalah ...

Nilai dari begin mathsize 14px style log presuperscript 3 space 2 times log presuperscript 2 space 3 minus log presuperscript 2 space 1 over 16 end style adalah ...

  1. begin mathsize 14px style negative 5 end style 

  2. begin mathsize 14px style negative 3 end style

  3. begin mathsize 14px style 3 end style

  4. begin mathsize 14px style 5 end style

  5. begin mathsize 14px style 7 end style

Jawaban:

Diketahui:

Operasi hitung logaritma.

Ingatkan sifat logaritma berikut:

begin mathsize 14px style table attributes columnalign left center left end attributes row cell log presuperscript straight a space straight a end cell equals 1 row cell scriptbase log space straight a to the power of straight n end scriptbase presuperscript straight a end cell equals straight n row cell log presuperscript straight a space straight b cross times log presuperscript straight b space straight c end cell equals cell scriptbase log space straight c end scriptbase presuperscript straight a end cell end table end style

Sehingga operasi hitung logaritmanya adalah sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript 3 space 2 times log presuperscript 2 space 3 minus log presuperscript 2 space 1 over 16 end cell equals cell log presuperscript 3 space 2 times log presuperscript 2 space 3 minus log presuperscript 2 space 16 to the power of negative 1 end exponent end cell row blank equals cell log presuperscript 3 space 2 times log presuperscript 2 space 3 minus log presuperscript 2 space 2 to the power of 4 open parentheses negative 1 close parentheses end exponent end cell row blank equals cell log presuperscript 3 space 2 times log presuperscript 2 space 3 minus log presuperscript 2 space 2 to the power of negative 4 end exponent end cell row blank equals cell log presuperscript 3 space 3 minus log presuperscript 2 space 2 to the power of negative 4 end exponent end cell row blank equals cell 1 minus open parentheses negative 4 close parentheses end cell row blank equals cell 1 plus 4 end cell row blank equals 5 end table end style

Nilai dari begin mathsize 14px style log presuperscript 3 space 2 times log presuperscript 2 space 3 minus log presuperscript 2 space 1 over 16 end style adalah begin mathsize 14px style 5 end style.

Jadi, jawaban yang tepat adalah D.

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