Roboguru

Pertanyaan

Nilai x yang memenuhi undefined adalah ….

  1. { }

  2. Error converting from MathML to accessible text. 

  3. 3

  4. begin mathsize 14px style negative 2 over 3 end style 

  5. begin mathsize 14px style 3 over 2 end style  

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

Cek syarat logaritmanya.

  • Basis

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x plus 3 end cell not equal to 1 row x not equal to cell negative 2 end cell end table end style 

dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell space x plus 3 end cell greater than 0 row x greater than cell negative 3 end cell end table end style 

  • Numerus

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x squared minus x end cell greater than 0 row cell x open parentheses 3 x minus 1 close parentheses end cell greater than 0 end table end style 

dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x squared plus 2 x end cell greater than 0 row cell x open parentheses x plus 2 close parentheses end cell greater than 0 end table end style 



 

Jika kita buat dalam satu garis bilangan yang sama maka syarat logaritmanya menjadi

Sehingga syarat logaritmanya akan terpenuhi jika Error converting from MathML to accessible text. 

Hitung persamaannya.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript presuperscript x plus 3 end presuperscript invisible function application open parentheses 3 x squared minus x close parentheses end cell equals cell log presubscript presuperscript x plus 3 end presuperscript invisible function application open parentheses x squared plus 2 x close parentheses end cell row cell 3 x squared minus x end cell equals cell x squared plus 2 x end cell row cell 2 x squared minus 3 x end cell equals 0 row cell x open parentheses 2 x minus 3 close parentheses end cell equals 0 end table end style 

Sehingga diperoleh,

Error converting from MathML to accessible text. 

Karena begin mathsize 14px style x equals 3 over 2 end style yang memenuhi syarat logaritma di atas begin mathsize 14px style x equals 3 over 2 end style memenuhi persamaan logaritma begin mathsize 14px style log presubscript presuperscript x plus 3 end presuperscript invisible function application left parenthesis 3 x squared minus x right parenthesis equals log presubscript presuperscript x plus 3 end presuperscript invisible function application left parenthesis x squared plus 2 x right parenthesis end style.

 

 

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