PUTRI DEA ANANDA - SMA 63 JAKARTA
X MIPA 1 - 2020/2021
LATIHAN SOAL PTS MATEMATIKA MINAT
Jawabannya :
1. 20 = k . 2 ^5 (2)-8
20 = k . 2²
20/4 = k
5 = k
- 3 k = -3(5) = -15
2. y = a . b² asimtot (1 , 2) , (0 , 2) , (2 , 5)
3 = a . b + c
3 = 1. b + 1
3 = b + 1
b = 2
2 = a . b² + c
2 = a + 1
a = 1
a = 1. y = 1 . 2^x + c
b = 2. y = 2^x + 1
c = 1.
3.
4. ( 2 x 1 )⁸ = ( 2 + x )⁸ >> 2 x - 1 = - 2 + x
2x x 2 = - 2 + 1
x = -1
2x - 1 = 2 - x
3x = 3
x = 1
5. (2/3)^3 = 6^1 - x
2^2/3x = 6¹/6^x
2^x . 6^x / 3^x = 6
12^x/3^x = 6
4^x = 6
x = ⁴log6
x = 1.2924812504
6. ( 2x - 3 )^x²-2x = ( 2x - 3 )^ x + 4
diperoleh , x² - 2x = x + 4
x² - 3x - 4 = 0
( x - 4 ) ( x + 1) = 0
x = 4 x = 1
Hp = {-1 , 4}
7. (2 x -3)^x+1 = 1
diperoleh
1) x + 1 = 0
x = -1
2) 2x - 3 = 1
2 x = 4
x = 2
3) 2x -3 = -1
2x = 2
x = 1
karena ( 2 . 3 ) ^1+1 = (-1)²
= 1
Jadi { x1 , x2 , x3 } = (-1, -2, -3)
dengan x1 , x2 , x3 = -1 + 2 + 1
= 2
8.
9.
10.
11. 5^x²-2x-4 > 5^3x+2
karena basis sama maka
x² - 2^x - 4 > 3x + 2
x² - 5x > 6
x² - 5x - 6 = 0
( x - 6 ) ( x + 1 ) = 0
x1 = 6 x2 = - 1
12. (1/2)^2x-5 < (1/4)^½x+1
(1/2)^2x-5 < (1/2)^x+2
karena sudah ama maka
2x-5 < x +2
x < 7
13. 1.000.000 + 1.000.000 = 4%
1.000.000 + 42.000
= 1.040.000 -> 2001
14. a = 0,5
x = 3 jam + ( 2 + 1 )
r = 1- ²% = 0,98
0,5 .(0,98)² = 0,4802kg
15. log
16. 1) (x-4)^4x = (x-4)^1+3x
4x = 1 + 3x
4x - 3x = 1
x = 1
x - 4 = 0
x = 4
2) (2x + 1) ^x-6 = (x + 5)^x-6
2 x+ 1 = x + 5
2 x - x = 5 - 1
x = 4
x - 6 = 0
x = 6
17.
18.
19.
20.
21.
22.
23.
24.
25.
Tidak ada komentar:
Posting Komentar