Pertanyaan

Diketahui 2 lo g p = 3 1 dan 3 lo g q = 2 1 . Jika x = p 2 d an y = q 3 , maka x lo g y = ....

Diketahui $^{2} lo g p = \frac{1}{3}$ dan $^{3} lo g q = \frac{1}{2}$ . Jika $x = p^{2} d an y = q^{3}, maka^{x} lo g y = ....$

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Ubah bentuk logaritma ke dalam bentuk eksponen: Substitusikan nilai p dan q, maka: Sehingga :

Ubah bentuk logaritma ke dalam bentuk eksponen:

blank squared log p equals 1 third rightwards arrow p equals 2 to the power of 1 third end exponent cubed log q equals 1 half rightwards arrow q equals 3 to the power of 1 half end exponent

Substitusikan nilai p dan q, maka:

x equals p squared equals open parentheses 2 to the power of 1 third end exponent close parentheses squared equals 2 to the power of 2 over 3 end exponent y equals q squared equals open parentheses 3 to the power of 1 half end exponent close parentheses cubed equals 3 to the power of 3 over 2 end exponent

Sehingga :

$blank to the power of x log y equals to the power of 2 to the power of 2 over 3 end exponent end exponent log 3 to the power of 3 over 2 end exponent space space space space space space space space space space space space space equals fraction numerator 3 over 2 over denominator 2 over 3 end fraction invisible function application squared log 3 space space space space space space space space space space space space space equals 9 over 4 open parentheses blank squared log 3 close parentheses$