Pertanyaan

Diketahui 3 log 6 = p dan 3 log 2 = q , maka nilai dari 24 log 288 = ...

Diketahui ³log 6 = p dan ³log 2 = q, maka nilai dari ²⁴log 288 = ...

$fraction numerator 2 p plus 3 q over denominator p plus 2 q end fraction$
$fraction numerator 3 p plus 2 q over denominator p plus 2 q end fraction$
$fraction numerator p plus 2 q over denominator 2 p plus 3 q end fraction$
$fraction numerator p plus 2 q over denominator 3 p plus 2 q end fraction$
$fraction numerator 2 p plus q over denominator 2 p plus 3 q end fraction$

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Jawaban terverifikasi

Pembahasan

3 log 6 = p dan 3 log 2 = q , maka: 24 log 288

³log 6 = p dan ³log 2 = q, maka:

²⁴log 288 $equals fraction numerator l o g 288 over denominator l o g 24 end fraction$

$equals fraction numerator blank cubed log left parenthesis 36 cross times 8 right parenthesis over denominator blank cubed log left parenthesis 6 cross times 4 right parenthesis end fraction equals fraction numerator blank cubed log 36 plus cubed log space 8 over denominator blank cubed log 6 plus cubed log 4 end fraction equals fraction numerator blank cubed log 6 squared plus cubed log space 2 cubed over denominator blank cubed log 6 plus cubed log 2 squared end fraction equals fraction numerator 2. cubed log 6 plus 3. cubed log space 2 over denominator blank cubed log 6 plus 2. cubed log 2 end fraction equals fraction numerator 2 p plus 3 q over denominator p plus 2 q end fraction$