Pertanyaan

Jika diketahui 2 lo g 7 = a dan 2 lo g 3 = b . Tentukan nilai dari 6 lo g 14 = ...

Jika diketahui $^{2} lo g 7 = a$ dan $^{2} lo g 3 = b$ . Tentukan nilai dari $^{6} lo g 14 =$ ...

$fraction numerator a over denominator b plus 1 end fraction$
$fraction numerator 1 plus a over denominator 1 plus b end fraction$
$fraction numerator 1 plus b over denominator 1 plus a end fraction$
$fraction numerator b over denominator a plus 1 end fraction$
$fraction numerator a left parenthesis 1 plus b right parenthesis over denominator b end fraction$

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Pembahasan

$log presuperscript 6 14 equals fraction numerator log begin display style space end style begin display style 14 end style over denominator log begin display style space end style begin display style 6 end style end fraction equals fraction numerator begin display style log presuperscript 2 space left parenthesis 2.7 right parenthesis end style over denominator l presuperscript 2 og space left parenthesis 2.3 right parenthesis end fraction equals begin inline style fraction numerator log presuperscript 2 space 2 plus log presuperscript 2 space 7 over denominator log presuperscript 2 space 2 plus log presuperscript 2 space 3 end fraction end style equals begin inline style fraction numerator 1 plus a over denominator 1 plus b end fraction end style$