Roboguru

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Pertanyaan

log presuperscript 5 space 1 fifth square root of 5 equals...

  1. 2 comma 5

  2. 1 comma 5

  3. 0 comma 5

  4. negative 0 comma 5

  5. negative 1 comma 5

Pembahasan Soal:

Perlu diingat bahwa:

  • a to the power of b times a to the power of c equals a to the power of b plus c end exponent
  • 1 over a to the power of b equals a to the power of negative b end exponent comma space a not equal to 0
  • log presuperscript a space b to the power of m equals m times log presuperscript a space b comma space a comma b greater than 0 space dan space a not equal to 1
  • log presuperscript a space a equals 1 comma space a greater than 0 space dan space a not equal to 1

Dengan menggunakan sifat bilangan berpangkat dan sifat bentuk logaritma di atas, maka diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript 5 space 1 fifth square root of 5 end cell equals cell log presuperscript 5 space 5 to the power of negative 1 end exponent times 5 to the power of 1 half end exponent end cell row blank equals cell log presuperscript 5 space 5 to the power of negative 1 plus 1 half end exponent end cell row blank equals cell log presuperscript 5 space 5 to the power of negative 1 half end exponent end cell row blank equals cell open parentheses negative 1 half close parentheses times log presuperscript 5 space 5 end cell row blank equals cell open parentheses negative 1 half close parentheses times 1 end cell row blank equals cell negative 1 half end cell row blank equals cell negative 0 comma 5 end cell end table

Berdasarkan definisi di atas, diperoleh log presuperscript 5 space 1 fifth square root of 5 equals negative 0 comma 5.

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 18 Juli 2021

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