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Jika 3 9 27 ​ ​ ​ = 3 y x ​ , maka nilai x + y adalah ....

Jika  , maka nilai adalah .... 
 

  1. 11

  2. 15

  3. 18

  4. 19

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N. Puspita

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D.

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Pada bentuk akar, berlaku aturan Maka, Di dapatkan dan . Maka, Jadi,nilai adalah . Oleh karena itu, jawaban yang benar adalah D.

Pada bentuk akar, berlaku aturan

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of a end cell equals cell a to the power of 1 half end exponent end cell row cell square root of a to the power of m end root end cell equals cell a to the power of m over 2 end exponent end cell row cell n-th root of a to the power of m end root end cell equals cell a to the power of m over n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m n end exponent end cell end table

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 3 square root of 9 square root of 27 end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 squared square root of 3 cubed end root end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 squared open parentheses 3 to the power of 3 over 2 end exponent close parentheses end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 to the power of 2 plus 3 over 2 end exponent end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 to the power of 4 over 2 plus 3 over 2 end exponent end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 to the power of 7 over 2 end exponent end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 open parentheses 3 to the power of 7 over 2 divided by 2 end exponent close parentheses end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 open parentheses 3 to the power of 7 over 2 cross times 1 half end exponent close parentheses end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 open parentheses 3 to the power of 7 over 4 end exponent close parentheses end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 plus 7 over 4 end exponent end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 4 over 4 plus 7 over 4 end exponent end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 11 over 4 end exponent end root end cell equals cell 3 to the power of x over y end exponent end cell row cell open parentheses 3 to the power of 11 over 4 end exponent close parentheses to the power of 1 half end exponent end cell equals cell 3 to the power of x over y end exponent end cell row cell open parentheses 3 to the power of 11 over 4 cross times 1 half end exponent close parentheses end cell equals cell 3 to the power of x over y end exponent end cell row cell 3 to the power of 11 over 8 end exponent end cell equals cell 3 to the power of x over y end exponent end cell row cell x over y end cell equals cell 11 over 8 end cell end table

Di dapatkan x equals 11 dan y equals 8. Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell straight x plus straight y end cell equals cell 11 plus 8 end cell row blank equals 19 end table

Jadi,  nilai x plus y adalah 19.


Oleh karena itu, jawaban yang benar adalah D.

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