Question

Logaritma
jika 2log5 = a
3log2=b
tentukan 6log50 =
mohon dibantu yaa
pakai caranya nya:)

Answer 1

2log5=a -> 5log2=1/a Mencari bilangan pokok
3log2=b -> 2log3=1/b Yang paling banyak kan 2

6log50 = 2log50 2log(2x5x5)
------- = -------------
2log6 2log(2x3)

2log2 + 2log5 + 2log5
= -------------------------
2log2 + 2log3

1+a+a
= -------
1+1/b

1+2a
= -------
b+1
----
b

= (1+2a)b
--------
1 + b

b+2ab
= -------
1+b