Pertanyaan

Tentukan hasil dari 3 lo g 12 ( 3 lo g 36 ) 2 − ( 3 lo g 4 ) 2 = ...

Tentukan hasil dari $\frac{( ^{3} lo g 36 ) ^{2} - ( ^{3} lo g 4 ) ^{2}}{^{3} lo g 12} = ...$

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I. Kumaralalita

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Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$fraction numerator left parenthesis log presuperscript 3 space 36 right parenthesis squared minus left parenthesis log presuperscript 3 space 4 right parenthesis squared over denominator log presuperscript 3 square root of 12 end fraction equals space I n g a t colon space a squared minus b squared equals left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis equals fraction numerator left parenthesis log presuperscript 3 space 36 plus log presuperscript 3 space 4 right parenthesis space left parenthesis log presuperscript 3 space 36 minus log presuperscript 3 space 4 right parenthesis over denominator log presuperscript 3 square root of 12 end fraction equals fraction numerator left parenthesis log presuperscript 3 space 36.4 right parenthesis space left parenthesis log presuperscript 3 space begin display style 36 over 4 end style right parenthesis over denominator log presuperscript 3 space 12 to the power of begin display style 1 half end style end exponent end fraction equals fraction numerator left parenthesis log presuperscript 3 space 144 right parenthesis space left parenthesis log presuperscript 3 space begin display style 9 end style right parenthesis over denominator begin display style 1 half end style. log presuperscript 3 space 12 end fraction equals fraction numerator left parenthesis log presuperscript 3 space 12 squared right parenthesis space left parenthesis log presuperscript 3 space 3 squared right parenthesis over denominator begin display style 1 half. log presuperscript 3 space 12 end style end fraction equals fraction numerator left parenthesis 2. log presuperscript 3 space 12 right parenthesis space left parenthesis 2. log presuperscript 3 space 3 right parenthesis over denominator begin display style 1 half. log presuperscript 3 space 12 end style end fraction equals fraction numerator left parenthesis 2. log presuperscript 3 space 12 right parenthesis space left parenthesis 2.1 right parenthesis over denominator begin display style 1 half. log presuperscript 3 space 12 end style end fraction equals fraction numerator 4 over denominator begin display style 1 half end style end fraction equals 8$