Pertanyaan

Bentuk sederhana dari 3 lo g 4. 4 lo g 6. 6 lo g 9 2 lo g 9 16 + 18 l o g 2 1 − 7 lo g 7 = …

Bentuk sederhana dari $\frac{_{2} lo g \frac{16}{9} + \frac{1}{_{18} l o g 2} - _{7} lo g 7}{_{3} lo g 4. _{4} lo g 6. _{6} lo g 9} = \dots$

3
2
6
-6
-2

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Jawaban terverifikasi

Pembahasan

$fraction numerator log presubscript space presuperscript 2 invisible function application 16 over 9 plus fraction numerator 1 over denominator log presubscript space presuperscript 18 invisible function application 2 end fraction minus log presubscript space presuperscript 7 invisible function application 7 over denominator log presubscript space presuperscript 3 invisible function application 4. log presubscript space presuperscript 4 invisible function application 6. log presubscript space presuperscript 6 invisible function application 9 end fraction equals fraction numerator log presubscript space presuperscript 2 invisible function application 16 over 9 plus log presubscript space presuperscript 2 invisible function application 18 minus 1 over denominator log presubscript space presuperscript 3 invisible function application 9 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log presubscript space presuperscript 2 invisible function application open parentheses 16 over 9 cross times 18 close parentheses space minus 1 over denominator log presubscript space presuperscript 3 invisible function application 9 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log presubscript space presuperscript 2 invisible function application 32 space minus 1 over denominator log presubscript space presuperscript 3 invisible function application 3 squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log presubscript space presuperscript 2 invisible function application 2 to the power of 5 space minus 1 over denominator 2. log presubscript space presuperscript 3 invisible function application 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 5. log presubscript space presuperscript 2 invisible function application 2 minus 1 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 2$

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