Question

Kk jwbkan dlu...
Jika 5 log 3=a dan 3 log 4 = b tentukan logaritma 4 log 15???

Answer 1

^5log 3 = a
^3log 4 = b

^4log 15 = (^3log 15) / (^3log 4)
= (^3log 3 x 5) / b
= (^3log 3 + ^3log 5) / b
= (1 + (1/^5log 3)) / b
= (1 + 1/a) / b
= ( (a+1)/a ) / b
= (a + 1) / ab