Pertanyaan

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

Jika $^{81} lo g \frac{1}{x} =^{x} lo g \frac{1}{y} =^{y} lo g \frac{1}{81}$ , maka $2 x - 3 y = ...$

-162
-81
0
81
162

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Jawaban terverifikasi

Pembahasan

Karena ketiga ruas sama, maka diperoleh: Kalikan pers 1 dan pers 2 Pers 1: Maka nilai dari:

Karena ketiga ruas sama, maka diperoleh:

Kalikan pers 1 dan pers 2

$blank to the power of 81 log space x space. space to the power of x log space y equals to the power of y log space 81 space. space to the power of y log space 81 to the power of 81 log space y equals open parentheses blank to the power of y log space 81 close parentheses squared fraction numerator 1 over denominator blank to the power of y log space 81 end fraction equals open parentheses blank to the power of y log space 81 close parentheses squared 1 equals open parentheses blank to the power of y log space 81 close parentheses cubed to the power of y log 81 equals 1 rightwards arrow y equals 81$

Pers 1:

blank to the power of 81 log space x equals to the power of y log space 81 to the power of 81 log space x equals to the power of 81 log space 81 to the power of 81 log space x equals 1 rightwards arrow x equals 81

Maka nilai dari:

2 x minus 3 y equals equals 2 left parenthesis 81 right parenthesis minus 3 left parenthesis 81 right parenthesis equals negative 81