Question

Jika 2log 3 = a dan 2log 5 = b, nilai dari 9log 150 = ...
Plis bantuin dan cara nyarinya bagaimana .. ?
Thanks ..

Answer 1

2 log 150= 2log 2.3.5pangkat2
2log 9= 2log 3pangkat2
2log 2+2log3+2 2log5
2 2log3
1+a+2b/2a

Answer 2

2Log3 = a
3Log2 = 1/a
3Log2 x 2log5 = 3Log 5 = 1/a x b = b/a
9Log 150 = 3²Log (2 x 3 x 5²)
=1/2 x (3Log 2 + 3Log3 + 2 x 3log5)
=1/2 x (1/a + 1 + 2b/a)
= 1/2 x ( (1 + a + 2b)/a)
= (1 + a + 2b) / 2a