Matematika

Pertanyaan

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tolong dijawab pertanyaannya ada digambar.

1 Jawaban

  • [tex]9 \: {}^{ \sqrt{3} } log2 + {}^{3} log5 - {}^{ \sqrt{3} } log4 \: + {}^{9} log64[/tex]

    [tex]= 9 \times {}^{3} log2 {}^{2} + {}^{3} log5 - {}^{ 3}log2 {}^{2 {}^{2} } \: + \\ {}^{3 {}^{2} } log2 {}^{6} \\ \\ = 9 \times {}^{3} log2 {}^{2} + {}^{3} log5 - {}^{ 3}log2 {}^{4} \: + \\ {}^{3 {}^{2} } log2 {}^{6}[/tex]

    [tex]= 9 \times2 \times {}^{3} log2 {}^{} + {}^{3} log5 -4 \: \times \\ {}^{ 3}log2 {}^{} \: + \frac{6}{2} \times {}^{3 {}^{} } log2 {}^{} \\ \\ = 18 \times {}^{3} log2 {}^{} + {}^{3} log5 -4 \: \times \\ {}^{ 3}log2{}^{} \: + 3 \times {}^{3 {}^{} } log2 {}^{} \\ \\ = (18 - 4 + 3 \times {}^{3} log2) + {}^{3} log5 \\ = 17 \times {}^{3} log2 + {}^{3} log5 \\ = {}^{3} log2 {}^{17} + {}^{3} log5 \\ = {}^{3} log(2 {}^{17} \times 5)[/tex]