Matematika

Pertanyaan

Nilai dari 2log akar 125 x 25log 8 + 81log 243 adalah

1 Jawaban

  • [tex]^{2}log\sqrt {125}\times ^{25}log8+^{81}log243\\ ^{2}log5^\frac {3}{2}}\times ^{5^{2}}log2^{3}+^{3^{4}}log3^{5}\\ \frac {3}{2}.^2log5\times \frac {3}{2}.^5log2+\frac {5}{4}.^3log3\\ \frac {3}{2}.\frac {3}{2}.^2log5\times ^5log2+\frac {5}{4}.1\\ \frac {9}{4}.\frac {log5}{log2}\times \frac {log2}{log5} +\frac {5}{4}\\ \\ \frac {9}{4}.1+\frac {5}{4}\\ =\frac {14}{4}\\ =\frac {7}{2}=3,5[/tex]

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