tolong bantu mengerjakan 3 soal
matematika minat kelas X
Jawaban:
1.
[tex] {}^{6} log(18) = \frac{ {}^{3} log(18) }{ {}^{3} log(6) } \\ = \frac{ {}^{3} log(9) + {}^{3} log(2) }{ {}^{3} log(2) + {}^{3} log(3) } \\ = \frac{2 + a}{a + 1} \\ = \frac{2 + a}{1 + a} [/tex]
2.
[tex] {}^{15} log(20) = \frac{ {}^{2} log(20) }{ {}^{2} log(15) } \\ = \frac{ {}^{2} log(4) + {}^{2} log(5) }{ {}^{2} log(3) + {}^{2} log(5) } \\ = \frac{2 + q}{ \frac{1}{ {}^{3} log(2) } + q} \\ = \frac{ 2 + q}{ \frac{1}{p} + q} \\ = \frac{2 + q}{ \frac{1}{ p} + \frac{pq}{p} } = \frac{2 + q}{ \frac{pq + 1}{p} } \\ = \frac{p(2 + q)}{pq + 1} = \frac{2p + pq}{pq + 1} [/tex]
3.
[tex] {}^{3} log(6) = \frac{ {}^{4} log(6) }{ {}^{4} log(3) } \\ = \frac{ {}^{4} log(12) - {}^{4} log(2) }{ {}^{4} log(12) - {}^{4} log(4) } \\ = \frac{b - \frac{1}{2} }{b - 1} [/tex]
