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Pertanyaan

Nilai dari 2 to the power of x yang memenuhi 4 to the power of x plus 2 end exponent space equals space cube root of 16 to the power of x plus 5 end exponent end root adalah .....

  1. 2

  2. 4

  3. 8

  4. 16

  5. 32

R. RGFLSATU

Master Teacher

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Pembahasan

4 to the power of x plus 2 end exponent space equals space cube root of 16 to the power of x plus 5 end exponent end root  open parentheses 2 squared close parentheses to the power of 2 x plus 4 end exponent equals cube root of open parentheses 2 to the power of 4 close parentheses to the power of x plus 5 end exponent end root  2 to the power of 2 x plus 4 end exponent equals 2 to the power of fraction numerator 4 x plus 20 over denominator 3 end fraction end exponent  to the power of 2 x plus 4 end exponent equals fraction numerator 4 x plus 20 over denominator 3 end fraction  6 x space plus space 12 space equals space 4 x space plus space 20 space  2 x space equals space 8  space X equals 4 space  2 to the power of x space equals space 2 to the power of 4 space  x space equals space 16

122

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