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Jika (321​)3−5x=2⋅22⋅23⋅⋯⋅220 maka x=….

Pertanyaan

Jika open parentheses 1 over 32 close parentheses to the power of 3 minus 5 x end exponent equals 2 times 2 squared times 2 cubed times horizontal ellipsis times 2 to the power of 20 maka x equals horizontal ellipsis

  1. 5  

  2. 9 

  3. 10 

  4. 15 

  5. 25 

I. Ridha

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.space 

Pembahasan

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 a greater than 0 dan a not equal to 1, maka 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 a not equal to 0
  • a equals a to the power of 1
  • a to the power of m a to the power of n equals a to the power of m plus n end exponent
  • 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 demikian, 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 1 over 32 close parentheses to the power of 3 minus 5 x end exponent end cell equals cell 2 times 2 squared times 2 cubed times horizontal ellipsis times 2 to the power of 20 end cell row cell open parentheses 1 over 2 to the power of 5 close parentheses to the power of 3 minus 5 x end exponent end cell equals cell 2 to the power of 1 plus 2 plus 3 plus midline horizontal ellipsis plus 20 end exponent end cell row cell open parentheses 2 to the power of negative 5 end exponent close parentheses to the power of 3 minus 5 x end exponent end cell equals cell 2 to the power of 210 end cell row cell 2 to the power of negative 15 plus 25 x end exponent end cell equals cell 2 to the power of 210 end cell end table

sehingga karena a equals 2 yang berarti a greater than 0 dan a not equal to 1, maka diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell negative 15 plus 25 x end cell equals 210 row cell 25 x end cell equals cell 210 plus 15 end cell row cell 25 x end cell equals 225 row x equals cell 225 over 25 end cell row x equals 9 end table

Oleh karena itu, jawaban yang benar adalah B.space 

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