Pertanyaan

Diketahui 5 lo g 3 = a dan 3 lo g 4 = b . Nilai 4 lo g 15 = ...

Diketahui $^{5} lo g 3 = a$ dan $^{3} lo g 4 = b$ . Nilai $^{4} lo g 15 = ...$

$fraction numerator 1 plus straight a over denominator ab end fraction$
$fraction numerator begin display style 1 plus straight a end style over denominator begin display style 1 plus straight b end style end fraction$
$fraction numerator begin display style 1 plus straight b end style over denominator begin display style 1 minus straight a end style end fraction$
$fraction numerator begin display style ab end style over denominator begin display style 1 minus straight a end style end fraction$
$fraction numerator begin display style ab end style over denominator begin display style 1 minus straight b end style end fraction$

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$log presuperscript 4 space 15 equals log presuperscript 4 space open parentheses 5 times 3 close parentheses equals log presuperscript 4 space 5 space plus space log presuperscript 4 space 3 equals fraction numerator 1 over denominator log presuperscript 5 space 4 end fraction space plus thin space fraction numerator 1 over denominator log presuperscript 3 space 4 end fraction equals fraction numerator 1 over denominator log presuperscript 5 space 4 times log presuperscript 3 space 4 end fraction plus 1 over straight b rightwards arrow space sifat space log presuperscript straight a space straight b times log presuperscript straight b space straight c equals log presuperscript straight a space straight c equals 1 over ab plus 1 over straight b equals 1 over ab plus straight a over ab equals equals fraction numerator 1 plus straight a over denominator ab end fraction$