Roboguru

Jika  dan , maka

Jika log presuperscript 2 subscript 3 equals p dan log presuperscript 3 subscript 7 equals q, maka log presuperscript 21 subscript 54 equals horizontal ellipsis 

  1. fraction numerator p plus 3 over denominator p q end fraction 

  2. fraction numerator 3 p plus 3 over denominator p q plus p end fraction 

  3. fraction numerator 3 p plus 3 over denominator p q minus p end fraction 

  4. fraction numerator 3 p plus 1 over denominator p q plus p end fraction 

  5. fraction numerator 3 p plus 1 over denominator p q minus p end fraction 

Jawaban:

Berdasarkan sifat-sifat logaritma, perhitungannya sebagai berikut

table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript 21 subscript 54 end cell equals cell fraction numerator log presuperscript 3 subscript 54 over denominator log presuperscript 3 subscript 21 end fraction end cell row blank equals cell fraction numerator log presuperscript 3 subscript 27 cross times 2 end subscript over denominator log presuperscript 3 subscript 3 cross times 7 end subscript end fraction end cell row blank equals cell fraction numerator log presuperscript 3 subscript 27 plus log presuperscript 3 subscript 2 over denominator log presuperscript 3 subscript 3 plus log presuperscript 3 subscript 7 end fraction end cell row blank equals cell fraction numerator log presuperscript 3 subscript 3 cubed end subscript plus log presuperscript 3 subscript 2 over denominator log presuperscript 3 subscript 3 plus log presuperscript 3 subscript 7 end fraction end cell row blank equals cell fraction numerator 3 open parentheses 1 close parentheses plus begin display style 1 over p end style over denominator 1 plus q end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 3 p plus 1 over denominator p end fraction end style over denominator 1 plus q end fraction end cell row blank equals cell fraction numerator 3 p plus 1 over denominator p end fraction cross times fraction numerator 1 over denominator 1 plus q end fraction end cell row blank equals cell fraction numerator 3 p plus 1 over denominator p plus p q end fraction end cell end table 

Oleh karena itu, jawaban yang tepat adalah D

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