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Pertanyaan

fraction numerator log presuperscript 4 space 2 over denominator log presuperscript 3 space 2 times log presuperscript 5 space 3 times log presuperscript 2 space 25 end fraction equals

  1. 0 comma 4

  2. 0 comma 25

  3. 0 comma 125

  4. 2

  5. 4 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perlu diingat bahwa:

log presuperscript a space b times log presuperscript b space c equals log presuperscript a space c log presuperscript a to the power of n end presuperscript space b to the power of m equals m over n times log presuperscript a space b log presuperscript a space b to the power of m equals m times log presuperscript a space b log presuperscript a space a equals 1

Hasil dari fraction numerator log presuperscript 4 space 2 over denominator log presuperscript 3 space 2 times log presuperscript 5 space 3 times log presuperscript 2 space 25 end fraction dapat ditentukan seperti berikut:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator log presuperscript 4 space 2 over denominator log presuperscript 3 space 2 times log presuperscript 5 space 3 times log presuperscript 2 space 25 end fraction end cell equals cell fraction numerator log presuperscript 2 squared end presuperscript space 2 over denominator log presuperscript 3 space 2 times log presuperscript 5 space 3 times log presuperscript 2 space 5 squared end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style times log presuperscript 2 space 2 over denominator log presuperscript 5 space 3 times log presuperscript 3 space 2 times 2 times log presuperscript 2 space 5 end fraction end cell row blank equals cell fraction numerator begin display style 1 half times 1 end style over denominator 2 times log presuperscript 5 space 2 times log presuperscript 2 space 5 end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style over denominator 2 times log presuperscript 5 space 5 end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 times 2 times 1 end fraction end cell row blank equals cell 1 fourth end cell row blank equals cell 0 comma 25 end cell end table

Sehingga, hasil dari fraction numerator log presuperscript 4 space 2 over denominator log presuperscript 3 space 2 times log presuperscript 5 space 3 times log presuperscript 2 space 25 end fraction equals 0 comma 25.

Jadi, jawaban yang tepat adalah B.

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Sederhanakan dan tentukan nilai dari bentuk berikut. c. 91​log31​⋅27log49⋅71​log811​

53

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Jawaban terverifikasi

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