Pertanyaan

Jika 3 a = 5 dan 5 b = 2 , maka nilai dari 15 lo g 40 adalah ....

Jika $3^{a} = 5$ dan $5^{b} = 2$ , maka nilai dari $^{15} lo g 40$ adalah ....

$fraction numerator 2 b plus a over denominator 1 plus a end fraction$
$fraction numerator 2 b plus a over denominator 2 plus a end fraction$
$fraction numerator 3 a b plus 1 over denominator 1 plus a end fraction$
$fraction numerator 3 a b plus a over denominator 1 plus a end fraction$
$fraction numerator 3 b plus 1 over denominator 1 plus a end fraction$

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Pembahasan

Ingat rumus maka Kalikan dengan , didapat .

Ingat rumus

maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript 15 space 40 end cell equals cell fraction numerator log presuperscript 5 space 40 over denominator log presuperscript 5 space 15 end fraction end cell row blank equals cell fraction numerator log presuperscript 5 space 2 cubed.5 over denominator log presuperscript 5 space 3.5 end fraction end cell row blank equals cell fraction numerator log presuperscript 5 space 2 cubed plus log presuperscript 5 space 5 over denominator log presuperscript 5 space 3 plus log presuperscript 5 space 5 end fraction end cell row blank equals cell fraction numerator 3. log presuperscript 5 space 2 plus log presuperscript 5 space 5 over denominator log presuperscript 5 space 3 plus log presuperscript 5 space 5 end fraction end cell row blank equals cell fraction numerator 3 b plus 1 over denominator begin display style 1 over a end style plus 1 end fraction end cell end table$

Kalikan dengan , didapat $fraction numerator 3 b plus 1 over denominator begin display style 1 over a plus 1 end style end fraction equals fraction numerator 3 a b plus a over denominator 1 plus a end fraction$ .