Question

²log5=a dan ³log 2= b maka pangkat 6 log 50 adalah

Answer 1

Jika
2log5 = a
3log2 = b
maka
3log5 = ab

6log50 =
3log50 / 3log6 =
3log(5²x2) / 3log(3x2) =
(3log5² + 3log2) / (3log3+3log2) =
(2ab + b) / (1+b)

Answer 2

6 log 50 = log 50 / log 6
=log 5.5.2 / log 3.2
misal log 2 = 1
= a log 2 + a log 2 + log 2 / (log 2/b + log 2)
= a + a + 1 / (1/b + 1)
= a+a+1 / 1+b
= 2a + 1 / 1 + b