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Pertanyaan

Himpunan penyelesaian dari begin mathsize 14px style 9 to the power of x minus 3 to the power of x plus 1 end exponent greater than 54 end style adalah ....

  1. {x | x > 2, x ϵ R}

  2. {x | x < -6, x ϵ R}

  3. {x | x > 4, x ϵ R}

  4. {x | x < -3, x ϵ R}

  5. {x | x > 9, x ϵ R}

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style 9 to the power of straight x minus 3 to the power of straight x plus 1 end exponent greater than 54  3 to the power of 2 straight x end exponent minus 3 straight space. straight space 3 to the power of straight x minus 54 greater than 0    Misa space straight l 3 to the power of straight x equals straight a comma space maka  straight a squared minus 3 straight a minus 54 greater than 0  open parentheses straight a plus 6 close parentheses open parentheses straight a minus 9 close parentheses greater than 0  straight a less than negative 6 straight space logical or straight a greater than 9  3 to the power of straight x less than negative 6 straight space logical or    3 to the power of straight x greater than 3 squared    Maka comma  3 to the power of straight x less than negative 6 rightwards arrow tidak space ada space straight x space yang space memenuhi  3 to the power of straight x greater than 3 squared rightwards double arrow straight x greater than 2 end style

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