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Pertanyaan

Jika ( 3 x − 2 3 ​ ) 2 3 9 1 ​ ​ = 1 maka x + 3 1 ​ = ....

Jika  maka  ....

  1. 1  

  2. 2  

  3. 3   

  4. 4 

  5. 5 

     

     

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

jawaban yang benar adalah C.space 

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Pembahasan

Ingat kembali: Jika dengan a > 0 , a  = 1 maka dengan a > 0 , a  = 1 dengan a > 0 , a  = 1 a 0 = 1 ,dengan a > 0 , a  = 1 ,dengan a > 0 , a  = 1 ,dengan a > 0 , a  = 1 ,dengan a > 0 , a  = 1 Dengan demikian, karena a = 3 bearti a > 0 , a  = 1 sehingga diperoleh Jadi, Oleh karena itu, jawaban yang benar adalah C.

Ingat kembali:

  • Jika a to the power of f open parentheses x close parentheses end exponent equals a to the power of g open parentheses x close parentheses end exponent dengan  maka f open parentheses x close parentheses equals g open parentheses x close parentheses
  • 1 over a to the power of m equals a to the power of negative m end exponent dengan 
  • n-th root of a to the power of m end root equals a to the power of m over n end exponent dengan 
  • , dengan   
  • a equals a to the power of 1, dengan 
  • a to the power of m a to the power of n equals a to the power of m plus n end exponent, dengan 
  • open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent, dengan 

Dengan demikian, 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 over 3 to the power of x minus 2 end exponent close parentheses squared cube root of 1 over 9 end root end cell equals 1 row cell open parentheses 3 to the power of 1 times 3 to the power of negative x plus 2 end exponent close parentheses squared times open parentheses 3 to the power of negative 2 end exponent close parentheses to the power of 1 third end exponent end cell equals 1 row cell open parentheses 3 to the power of 1 minus x plus 2 end exponent close parentheses squared times 3 to the power of negative 2 over 3 end exponent end cell equals cell 3 to the power of 0 end cell row cell open parentheses 3 to the power of 3 minus x end exponent close parentheses squared times 3 to the power of negative 2 over 3 end exponent end cell equals cell 3 to the power of 0 end cell row cell 3 to the power of 6 minus 2 x end exponent times 3 to the power of negative 2 over 3 end exponent end cell equals cell 3 to the power of 0 end cell row cell 3 to the power of 6 minus 2 x minus 2 over 3 end exponent end cell equals cell 3 to the power of 0 end cell end table   

karena  bearti  sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell 6 minus sign 2 italic x minus sign 2 over 3 end cell equals 0 row cell negative sign 2 italic x end cell equals cell 2 over 3 minus sign 6 end cell row cell negative sign 2 italic x end cell equals cell fraction numerator 2 minus sign 18 over denominator 3 end fraction end cell row cell negative sign 2 italic x end cell equals cell fraction numerator negative sign 16 over denominator 3 end fraction end cell row italic x equals cell negative sign 16 over 3 middle dot minus sign 1 half end cell row italic x equals cell 8 over 3 end cell end table  

Jadi,  x plus 1 third equals 8 over 3 plus 1 third equals 9 over 3 equals 3 

Oleh karena itu, jawaban yang benar adalah C.space 

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