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Nilai x yang memenuhi persamaan 3x=0,3(x+3) adalah ...

Pertanyaan

Nilai x yang memenuhi persamaan 3 to the power of x equals 0 comma 3 to the power of open parentheses x plus 3 close parentheses end exponent adalah ... 

  1. log space fraction numerator 27 over denominator 1.000 end fraction 

  2. 3 over 10  

  3. log space 0 comma 3  

  4. log space 3 

  5. 3 space log space 0 comma 3 

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat 

  • blank to the power of a log space b to the power of c equals c times to the power of a log space b 
  • blank to the power of a log space b over c equals to the power of a log space b minus to the power of a log space c 

Perhatikan perhitungan berikut 

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 to the power of x end cell equals cell 0 comma 3 to the power of open parentheses x plus 3 close parentheses end exponent end cell row cell log space 3 to the power of x end cell equals cell log space 0 comma 3 to the power of open parentheses x plus 3 close parentheses end exponent end cell row cell x times log space 3 end cell equals cell open parentheses x plus 3 close parentheses times log space 0 comma 3 end cell row cell x times log space 3 end cell equals cell open parentheses x plus 3 close parentheses times log space open parentheses 3 over 10 close parentheses end cell row cell x times log space 3 end cell equals cell open parentheses x plus 3 close parentheses times open parentheses log space 3 minus log space 10 close parentheses end cell row cell x times log space 3 end cell equals cell open parentheses x plus 3 close parentheses times open parentheses log space 3 minus 1 close parentheses end cell row cell down diagonal strike x times log space 3 end strike end cell equals cell down diagonal strike x times log space 3 end strike minus x plus 3 space log space 3 minus 3 end cell row x equals cell 3 space log space 3 minus 3 end cell row x equals cell 3 space open parentheses log space 3 minus 1 close parentheses end cell row x equals cell 3 space open parentheses log space 3 minus log space 10 close parentheses end cell row x equals cell 3 space log space open parentheses 3 over 10 close parentheses end cell row x equals cell 3 space log space 0 comma 3 end cell row blank blank blank end table 

Maka, jawaban yang benar adalah E.

126

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