Jika 2 log 3 =a dan 3 log 5 =b tentukan nilai dari 18 log 50 =....?

Logaritma

²log 3 = a --> ³log 2 = 1/a
³log 5 = b

'18log50
= (³log 50)/(³log 18)
= (³log (25 x 2) ) / ( ³log (9x2))
= (³log 5² + ³log 2) / (³log 9 + ³log 2)
= (2b + (1/a)) / ( 2 + (1/a))
= ( (2ab+1)/a) / ( (2a + 1)/a)
= (2a + 1) / ( 2ab + 1)