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Jika x memenuhi pertidaksamaan (81​)x>161​ , maka nilai x yang memenuhi adalah ....

Pertanyaan

Jika x memenuhi pertidaksamaan begin mathsize 14px style open parentheses 1 over 8 close parentheses to the power of straight x greater than 1 over 16 end style , maka nilai x yang memenuhi adalah ....

  1. begin mathsize 14px style straight x greater than 1 half end style 

  2. begin mathsize 14px style text x< end text 3 over 4 end style 

  3. begin mathsize 14px style straight x greater than 3 over 4 end style 

  4. begin mathsize 14px style x less than 4 over 3 end style 

  5. begin mathsize 14px style straight x greater than 4 over 3 end style 

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat bahwa jika 0 < < 1 , maka berlaku begin mathsize 14px style straight a to the power of straight x greater than straight a to the power of straight y left right double arrow straight x less than straight y end style 

Perhatikan bahwa

begin mathsize 14px style open parentheses 1 over 8 close parentheses to the power of straight x greater than 1 over 16 open parentheses open parentheses 1 half close parentheses cubed close parentheses to the power of straight x greater than open parentheses 1 half close parentheses to the power of 4 open parentheses 1 half close parentheses to the power of 3 straight x end exponent greater than open parentheses 1 half close parentheses to the power of 4 end style 

Karena begin mathsize 14px style 0 space less than space 1 half space less than space 1 end style , maka

begin mathsize 14px style 3 straight x less than 4 straight x less than 4 over 3 end style 

 

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