Pertanyaan

Diketahui adalah….

Diketahui ${}^\style{font-size:14px}3\style{font-size:14px}\log\style{font-size:14px}5\style{font-size:14px}\;\style{font-size:14px}=\style{font-size:14px}\;\style{font-size:14px}{\mathrm p}\style{font-size:14px}\;\style{font-size:14px}{\mathrm{dan}}\style{font-size:14px}\;{}^\style{font-size:14px}5\style{font-size:14px}\log\style{font-size:14px}2\style{font-size:14px}\;\style{font-size:14px}=\style{font-size:14px}{\mathrm q}\style{font-size:14px}\;\style{font-size:14px}{\mathrm{maka}}\style{font-size:14px}\;{}^\style{font-size:14px}4\style{font-size:14px}\log\style{font-size:14px}{15}\style{font-size:14px}\;$ adalah….

$fraction numerator 2 p q over denominator 1 plus p end fraction$
$fraction numerator 1 plus p over denominator 2 p q end fraction$
$fraction numerator 2 p q over denominator 1 plus q end fraction$
$fraction numerator 1 plus q over denominator 2 p q end fraction$
$fraction numerator 2 p q over denominator p plus q end fraction$

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Pembahasan

$log presuperscript 4 15 equals fraction numerator log presuperscript 5 15 over denominator log presuperscript 5 4 end fraction equals fraction numerator log presuperscript 5 3 space plus log presuperscript 5 5 over denominator 2 space. space log presuperscript 5 2 end fraction equals fraction numerator 1 over p plus 1 over denominator 2 q end fraction equals fraction numerator 1 plus p over denominator 2 p q end fraction$