Pertanyaan

Nilai dari [ 2 lo g 8 − 2 lo g 4 3 lo g 2. 4 lo g 27 + 3 lo g 81 ] 2 adalah ....

Nilai dari $[\frac{^{3} lo g 2. ^{4} lo g 27 + ^{3} lo g 81}{^{2} lo g 8 - ^{2} lo g 4}]^{2}$ adalah ....

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Pembahasan

$begin mathsize 14px style open square brackets fraction numerator log presuperscript 3 space 2. log presuperscript 4 space 27 plus log presuperscript 3 space 81 over denominator log presuperscript 2 space 8 minus log presuperscript 2 space 4 end fraction close square brackets squared end style$

$begin mathsize 14px style equals open parentheses fraction numerator log presubscript space presuperscript 3 invisible function application space 2. space log presubscript space presuperscript 2 squared end presuperscript invisible function application space 3 cubed plus log presubscript space presuperscript 3 space invisible function application 3 to the power of 4 over denominator log presubscript space presuperscript 2 space invisible function application open parentheses 8 over 4 close parentheses end fraction close parentheses squared equals open parentheses fraction numerator 3 over 2. log presubscript space presuperscript 3 space invisible function application 2. space log presubscript space presuperscript 2 space invisible function application 3 plus 4. log presubscript space presuperscript 3 space invisible function application 3 over denominator log presubscript space presuperscript 2 space invisible function application 2 end fraction close parentheses squared equals open parentheses fraction numerator 3 over 2 space. log presubscript space presuperscript 3 space invisible function application 3 plus 4 over denominator 1 end fraction close parentheses squared equals open parentheses 3 over 2 plus 4 close parentheses squared equals open parentheses 11 over 2 close parentheses squared equals 121 over 4 end style$