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Pertanyaan

Jika x 1 ​ dan x 2 ​ memenuhi persamaan , maka x 1 ​ . x 2 ​ = …

Jika  dan  memenuhi persamaan open parentheses 2 space log invisible function application x minus 1 close parentheses fraction numerator 1 over denominator log presubscript space presuperscript x invisible function application 10 end fraction space equals log invisible function application 10 , maka

  1. fifth root of 10

  2. fourth root of 10

  3. cube root of 10

  4. square root of 10

  5. root index blank of 10

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A. C

Master Teacher

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hasil dari

hasil dari x subscript 1. x subscript 2 equals 10 to the power of negative 1 half end exponent.10 equals 10 to the power of 1 half end exponent equals square root of 10

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Pembahasan

Misal: log x= p Maka: atau p= 1 dan Jadi, hasil dari

open parentheses 2 space log invisible function application x minus 1 close parentheses fraction numerator 1 over denominator log presubscript space presuperscript x invisible function application 10 end fraction space equals log invisible function application 10  open parentheses 2 space log invisible function application x minus 1 close parentheses fraction numerator 1 over denominator log presubscript space presuperscript x invisible function application 10 end fraction space equals 1  open parentheses 2 space log invisible function application x minus 1 close parentheses log presubscript space presuperscript space invisible function application x space equals 1

Misal:
log x= p
Maka:
open parentheses 2 p minus 1 close parentheses p equals 1  2 p squared minus p minus 1 equals 0  open parentheses 2 p plus 1 close parentheses open parentheses p minus 1 close parentheses equals 0

p equals space minus 1 half atau p= 1
log invisible function application x equals negative 1 half space left right arrow x subscript 1 equals 10 to the power of negative 1 half end exponent

dan

log invisible function application x equals 1 left right arrow x subscript 2 equals 10

Jadi, hasil dari x subscript 1. x subscript 2 equals 10 to the power of negative 1 half end exponent.10 equals 10 to the power of 1 half end exponent equals square root of 10

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Himpunan penyelesaian dari persamaan logaritma adalah …

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