Godzio: 1.
2(2a + 2) = a+6 + 1
4a + 4 = a + 7
3a = 3
a = 1
2.
4,x,9 zał. x > 4
x
2 = 4 * 9
x
2 = 36
x = 6 v x = −6 − odrzucamy
3.
a
1 = 4 a
4 = 10
| | a1 + a4 | | 14 | |
S4 = |
| * 4 = |
| * 4 = 28 |
| | 2 | | 2 | |
4.
a
1 = 1 q = 2
| | 1 − q5 | | 1 − 25 | |
S5 = a1 * |
| = |
| = 32 − 1 = 31 |
| | 1 − q | | −1 | |
5.
a = 3log
84
a = log
864
a = 2
6.
log
2(log20 + log5) = log
2(log100) = log
22 = 1
7.
| 5x + 4 | | 1 | |
| = 3 zał. x ≠ |
| |
| 2x − 1 | | 2 | |
5x + 4 = 6x − 3
x = 7