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Pertanyaan

Jika 81 lo g x 1 ​ = x lo g y 1 ​ = y lo g 81 1 ​ , maka 2x - 3 y = ...

Jika , maka 2x - 3 y = ...

  1. -162

  2. -81

  3. 0

  4. 81

  5. 162

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Karena ketiga ruas sama, maka diperoleh: Kalikan pers 1 dan pers 2

blank to the power of 81 log invisible function application 1 over x equals to the power of x log invisible function application 1 over y equals to the power of y log invisible function application 1 over 81 to the power of 81 log invisible function application x to the power of negative 1 end exponent equals to the power of x log invisible function application y to the power of negative 1 end exponent equals to the power of y log invisible function application 81 to the power of negative 1 end exponent minus 1 to the power of 81 log invisible function application x equals negative 1 to the power of x log invisible function application y equals negative 1 to the power of y log invisible function application 81 to the power of 81 log invisible function application x equals to the power of x log invisible function application y equals to the power of y log invisible function application 81

Karena ketiga ruas sama, maka diperoleh:

blank to the power of 81 log invisible function application x equals to the power of y log invisible function application 81 horizontal ellipsis p e r s open parentheses 1 close parentheses to the power of x log invisible function application y equals to the power of y log invisible function application 81 horizontal ellipsis p e r s open parentheses 2 close parentheses

Kalikan pers 1 dan pers 2

blank to the power of 81 log invisible function application x space. space to the power of x log invisible function application y equals to the power of y log invisible function application 81 space. space to the power of y log invisible function application 81 to the power of 81 log invisible function application y equals open parentheses blank to the power of y log invisible function application 81 close parentheses squared fraction numerator 1 over denominator blank to the power of y log invisible function application 81 end fraction equals open parentheses blank to the power of y log invisible function application 81 close parentheses squared 1 equals open parentheses blank to the power of y log invisible function application 81 close parentheses cubed to the power of y log invisible function application 81 equals 1 rightwards arrow y equals 81  P e r s space 1 space colon space to the power of 81 log invisible function application x equals to the power of y log invisible function application 81 to the power of 81 log invisible function application x equals to the power of 81 log invisible function application 81 to the power of 81 log invisible function application x equals 1 rightwards arrow x equals 81  M a k a space n i l a i space d a r i colon 2 x minus 3 y equals negative 81

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