a log 1/b . b log 1/c . c log 1/a = tolong kasi tau caranya pliiiss

Kelas 10 Matematika
Bab Logaritma

^ = pangkat

^alog (1/b) . ^blog (1/c) . ^clog (1/a)
= ^alog b^(-1) . ^blog c^(-1) . ^clog a^(-1)
= (-1) . ^alog a . (-1) . ^blog b . (-1) . ^clog c
= -1

[tex] {}^{a} log \frac{1}{b} \times {}^{b} log \frac{1}{c} \times {}^{c} log \frac{1}{a} \\ ( {}^{a} log1 - {}^{a} logb) \times ( {}^{b} log1 - {}^{b} logc) \times ( {}^{c} log1 - {}^{c} loga) \\ (0 - {}^{a} logb) \times (0 - {}^{b} logc) \times (0 - {}^{c} loga) \\ - {}^{a} logb \times - {}^{b} logc \times - {}^{c} loga \\ {}^{a} logc \times - {}^{c} loga \\ - {}^{a} loga \\ - 1[/tex]