³log 2 - ³log 10 + ³log 15

³log 2 – ³log 10 + ³log 15

Jawaban:

Menggunakan sifat :

$boxed{{}^{a} log(a) = 1}$

$boxed{{}^{a} log(b) + {}^{a} log(c) = {}^{a} log(b times c) }$

$boxed{ {}^{a} log(b) - {}^{a} log(c) = {}^{a} log( frac{b}{c} )}$

Maka,

${}^{3} log(2) - {}^{3} log(10) + {}^{3} log(15) \ = {}^{3} log( frac{2}{10} times 15 ) \ = {}^{3} log(3) \ = 1$