Question

Jawab sama caranya ya :
1. Jika a = 1-√3 / 1+√3 dan b = 1+√3 / 1-√3,maka Nilai a +b =...
2. ²log48 + ^5log50 - ²log3 - ^5log2 =...
3. Dik. log 5 = 0,699.log 3 = 0,477 dan log 2 = 0,301 . Nilai log 125 adalah...
4. Nilai dari ²log² 8 - ²log² 2 / ²log √8 - ²log √2 =...

Answer 1

A = (1- √3)²/(-2)
b = (1+√3)² / (-2)
a+b = [(1-√3)² + (1+√3)²] / (-2)
a+b = 2+6= 8
.
2)
= 2'log 48 - 2'log 3 + ( 5'log 50 - 5'log 2)
= 2'log 16  + 5'log 25
= 2'log 2^4 + 5'log 5^2
= 4 + 2 = 6
.
3) log 125 = log 5^3 = 3 (log 5)= 3(0,699) = 2,097
.
4) 2'log 8 = 3 --> 2'log√8 =1/2. 2'log 8 = 3/2  
2'log 2 = 1 --> 2'log √2  = 1/2 (2'log 2) = 1/2
(3^2- 1^2) / ( (3/2)^2 - (1/2)^2)
= (8)/(9/4 - 1/4)
 =  8/2 = 4

Answer 2

1) a = (1- √3)²/(-2) b = (1+√3)² / (-2) a+b = [(1-√3)² + (1+√3)²] / (-2) a+b = 2+6= 8 2) = 2'log 48 - 2'log 3 + ( 5'log 50 - 5'log 2) = 2'log 16 + 5'log 25 = 2'log 2^4 + 5'log 5^2 = 4 + 2 = 6 3) 3) log 125 = log 5^3 = 3 (log 5)= 3(0,699) = 0,942 -2 4) 2'log 8 = 3 --> 2'log√8 =1/2. 2'log 8 = 3/2 2'log 2 = 1 --> 2'log √2 = 1/2 (2'log 2) = 1/2 (3^2- 1^2) / ( (3/2)^2 - (1/2)^2) = (8)/(9/4 - 1/4) = 8/2 = 4