Pertanyaan

Jika f ( x ) = 1 − 2 × 4 lo g x 4 lo g x , nilai f ( 2 a ) + f ( a 2 ) = ...

Jika $f (x) = \frac{^{4} lo g x}{1 - 2 \times ^{4} lo g x}$ , nilai $f (2 a) + f (\frac{2}{a}) = ...$

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Klaim

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat sifat-sifat logaritma Maka dengan menggunakan sifat-sifat tersebut, diperoleh Jadi, . Dengan demikian, jawaban yang tepat adalah B.

Ingat sifat-sifat logaritma

Maka dengan menggunakan sifat-sifat tersebut, diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 2 a close parentheses plus f open parentheses 2 over a close parentheses end cell equals cell fraction numerator space to the power of 4 log space open parentheses 2 a close parentheses over denominator 1 minus 2 cross times to the power of 4 log open parentheses 2 a close parentheses end fraction plus fraction numerator space to the power of 4 log space open parentheses begin display style 2 over a end style close parentheses over denominator 1 minus 2 cross times to the power of 4 log open parentheses begin display style 2 over a end style close parentheses end fraction end cell row blank equals cell fraction numerator space to the power of 4 log space open parentheses 2 a close parentheses over denominator blank to the power of 4 log space 4 minus to the power of 4 log space open parentheses 2 a close parentheses squared end fraction plus fraction numerator space to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space 4 minus to the power of 4 log open parentheses 2 over a close parentheses squared end fraction end cell row blank equals cell fraction numerator space to the power of 4 log space open parentheses 2 a close parentheses over denominator blank to the power of 4 log space 4 minus to the power of 4 log space 4 a squared end fraction plus fraction numerator space to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space 4 minus to the power of 4 log open parentheses 4 over a squared close parentheses end fraction end cell row blank equals cell fraction numerator space to the power of 4 log space 2 a over denominator blank to the power of 4 log open parentheses begin display style fraction numerator 4 over denominator 4 a squared end fraction end style close parentheses end fraction plus fraction numerator space to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space open parentheses begin display style fraction numerator 4 over denominator 4 over a squared end fraction end style close parentheses end fraction end cell row blank equals cell fraction numerator space to the power of 4 log space 2 a over denominator blank to the power of 4 log open parentheses begin display style 1 over a squared end style close parentheses end fraction plus fraction numerator space to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space open parentheses begin display style a squared end style close parentheses end fraction end cell row blank equals cell fraction numerator space to the power of 4 log space 2 a over denominator negative to the power of 4 log space a squared end fraction plus fraction numerator space to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space begin display style a squared end style end fraction end cell row blank equals cell fraction numerator space minus to the power of 4 log space 2 a over denominator blank to the power of 4 log space a squared end fraction plus fraction numerator space to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space begin display style a squared end style end fraction end cell row blank equals cell fraction numerator space minus to the power of 4 log space 2 a plus to the power of 4 log space open parentheses 2 over a close parentheses over denominator blank to the power of 4 log space a squared end fraction end cell row blank equals cell fraction numerator space minus to the power of 4 log space 2 minus to the power of 4 log space a plus to the power of 4 log space 2 minus to the power of 4 log space a over denominator 2 cross times to the power of 4 log space a end fraction end cell row blank equals cell fraction numerator negative 2 to the power of 4 log space a over denominator 2 to the power of 4 log space a end fraction end cell row blank equals cell negative 1 end cell end table$

Jadi, f open parentheses 2 a close parentheses plus f open parentheses 2 over a close parentheses equals negative 1 .

Dengan demikian, jawaban yang tepat adalah B.

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