⁴log1/64 + ³log1/81 - 6log1/216

Matematika Kelas 11
Logaritma

Salah satu sifat - sifat logaritma :
a log a = 1
a log b^n = n . a log b

Penyelesaian :
= ⁴log (1/64) + ³log (1/81) - 6 log (1/216)
= ⁴log (1/4³) + ³log (1/9²) - 6 log (1/6³)
= ⁴log 4-³ + ³log 9-² - 6 log 6-³
= (-3) ⁴log 4 + (-2) ³log 3 - (-3) 6 log 6
= (-3) . 1 + (-2) . 1 - (-3) .1
= -3 - 2 + 3
= -2

Semoga membantu.

4 log 1/64 + 3 log 1/81 - 6 log 1/216 = 4 lg 4^-3 +  3 lg 3^-4 - 6 lg 6^-3 = -3 -4 +3 = -4