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Jika 2m=3n=6P  Nilai dari p=… +3mu.

Pertanyaan

Jika 2 to the power of m equals 3 to the power of n equals 6 to the power of straight P  Nilai dari straight p equals horizontal ellipsis. 

  1. fraction numerator straight m minus straight n over denominator mn end fraction 
     

  2.  fraction numerator mn over denominator straight m plus straight n end fraction  

  3. fraction numerator straight m plus straight n over denominator mn end fraction 

  4. fraction numerator mn over denominator straight m minus 2 end fraction

  5.   fraction numerator straight n over denominator straight m minus straight n end fraction

D. Citra

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat kembali:

log presuperscript a space b to the power of c equals c times log presuperscript a space b 

log presuperscript straight a space straight b equals fraction numerator straight c times log space straight b over denominator straight c times log space straight a end fraction

straight a equals straight b rightwards arrow log presuperscript straight x space straight a equals log presuperscript straight x space straight b

log presuperscript straight a space straight b times straight c equals log presuperscript straight a space straight b plus log presuperscript straight a space straight c

Dengan demikian:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 to the power of m end cell equals cell 3 to the power of n end cell row cell log space 2 to the power of m end cell equals cell log space 3 to the power of n end cell row cell m times log space 2 end cell equals cell n times log space 3 end cell row cell m over n end cell equals cell fraction numerator log space 3 over denominator log space 2 end fraction end cell end table

Karena 3 to the power of n equals 6 to the power of p maka

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 to the power of n end cell equals cell 6 to the power of p end cell row cell log space 3 to the power of n end cell equals cell log space 6 to the power of p end cell row cell n space log space 3 end cell equals cell p space log space 6 end cell row cell n space scriptbase log space end scriptbase presuperscript 2 3 end cell equals cell p space scriptbase log space end scriptbase presuperscript 2 6 end cell row cell up diagonal strike n times fraction numerator m over denominator up diagonal strike n end fraction end cell equals cell p space scriptbase log space end scriptbase presuperscript 2 6 end cell row m equals cell p times scriptbase log space end scriptbase presuperscript 2 2 times 3 end cell row m equals cell p open parentheses scriptbase log space end scriptbase presuperscript 2 2 plus scriptbase log space end scriptbase presuperscript 2 3 close parentheses end cell row m equals cell p open parentheses 1 plus m over n close parentheses end cell row p equals cell fraction numerator m over denominator 1 plus m over n end fraction end cell row p equals cell fraction numerator m n over denominator m plus n end fraction end cell end table

Dengan demikian, nilai p adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator m n over denominator m plus n end fraction end cell end table  

Jadi, jawaban yang tepat adalah B.

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