Pertanyaan

JIka p lo g a = 2 dan q lo g 8 p = 2 , maka 2 p lo g a p q 2 = ...

JIka $^{p} lo g a = 2$ dan $^{q} lo g 8 p = 2$ , maka $^{2 p} lo g \frac{p q ^{2}}{a} = ...$

$fraction numerator 3 over denominator blank squared log space 2 p end fraction$
$fraction numerator 1 over denominator blank squared log space 2 p end fraction$
$fraction numerator 3 over denominator blank squared log space p end fraction$

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Jawaban terverifikasi

Pembahasan

Ubah bentuk logaritmanya menjadi bentuk eksponen: Substitusikan nilai dan , maka:

Ubah bentuk logaritmanya menjadi bentuk eksponen:

Substitusikan nilai dan , maka:

$blank to the power of 2 p end exponent log space fraction numerator p q squared over denominator a end fraction equals to the power of 2 p end exponent log space fraction numerator p open parentheses 8 p close parentheses over denominator p squared end fraction space space space space space space space space space space space space space space space space space space space space space equals to the power of 2 p end exponent log space fraction numerator 8 p squared over denominator p squared end fraction space space space space space space space space space space space space space space space space space space space space space equals to the power of 2 p end exponent log space 8 space space space space space space space space space space space space space space space space space space space space equals to the power of 2 p end exponent log space 2 cubed space space space space space space space space space space space space space space space space space space space space space equals 3 space to the power of 2 p end exponent log space 2 space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 over denominator blank squared log space 2 p end fraction$