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Diberikan persamaan Jika x 0 ​ merupakan penyelesaian dari persamaan, maka nilai dari 1 − 4 3 ​ x 0 ​ = ...

Diberikan persamaan  open parentheses cube root of 1 over 243 end root close parentheses to the power of 3 x end exponent equals 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.

Jika  merupakan penyelesaian dari persamaan, maka nilai dari 

  1. 1 3 over 16

  2. 1 1 fourth

  3. 1 3 over 4

  4. 2 1 third

  5. 2 3 over 4

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Pembahasan

Diperoleh Sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses cube root of 1 over 243 end root close parentheses to the power of 3 x end exponent end cell equals 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 row cell open parentheses 3 to the power of fraction numerator negative 5 over denominator 3 end fraction end exponent close parentheses to the power of 3 x end exponent end cell equals cell open parentheses 3 to the power of 1 minus open parentheses x minus 2 close parentheses end exponent close parentheses squared space. space 3 to the power of negative 2 over 3 end exponent end cell row cell 3 to the power of negative 5 x end exponent end cell equals cell 3 to the power of 2 minus 2 x plus 4 end exponent.3 to the power of negative 2 over 3 end exponent end cell row cell 3 to the power of negative 5 x end exponent end cell equals cell 3 to the power of 6 minus 2 x minus 2 over 3 end exponent end cell row cell up diagonal strike 3 to the power of negative 5 x end exponent end cell equals cell up diagonal strike 3 to the power of 16 over 3 minus 2 x end exponent end cell row cell negative 5 x end cell equals cell 16 over 3 minus 2 x end cell row cell negative 3 x end cell equals cell 16 over 3 end cell row x equals cell negative 16 over 9 end cell end table

 

Diperoleh x subscript 0 equals negative 16 over 9

Sehingga 

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 minus 3 over 4 x subscript 0 end cell equals cell 1 minus 3 over 4 open parentheses negative 16 over 9 close parentheses end cell row blank equals cell 1 plus 4 over 3 end cell row blank equals cell 7 over 3 end cell row blank equals cell 2 1 third end cell end table

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