2log125.3log9.5log8=....

2log125.3log9.5log8=….

Jawaban Terkonfirmasi

Jawab

= ²log 5³. ³log 3². ⁵log 2³
= 3. ²log 5. 2.³log 3. 3.⁵log 2
= (3)(2)(3). ²log 5. ⁵log 2
= 18 . ²log 2
= 18

${}^{2} log(125) times {}^{3} log(9) times {}^{5} log(8) \ = {}^{2} log(125). {}^{3} log_{}(3 {}^{2} ) . {}^{5} log(8) \ = {}^{2} log(125) times 2. {}^{5} log(8) \ = 2. {}^{2} log(125) times {}^{5} log(8) \ = 2. {}^{2} log(5 {}^{3} ) times {}^{5} log(2 {}^{3} ) \ = 2 times 3. {}^{2} log(5) times 3. {}^{5} log(2) \ = 2 times 3 times 1 times 3 \ = 18$