Mam problem z zadankiem.
Rozwiąż równanie:
5log2x − 3log2x − 1 = 3log2x + 1 − 5log2x − 1
| 1 | 1 | |||
5log2x(1+ | )=3log2x(3+ | ) | ||
| 5 | 3 |
| 3 | 6 | 3 | ||||
( | )log2x= | * | ||||
| 5 | 5 | 10 |
| 3 | 3 | |||
( | )log2x=( | )2 | ||
| 5 | 5 |
| 1 | 1 | |||
5t − | *3t = 3*3t − | *5t | ||
| 3 | 5 |
| 1 | 1 | |||
5t + | *5t = 3*3t + | *3t | ||
| 5 | 3 |
| 6 | 10 | ||
*5t = | *3t | ||
| 5 | 3 |
| 5t | 10 | 5 | |||
= | * | ||||
| 3t | 3 | 6 |
| 5 | 5 | |||
( | )t = ( | )2 | ||
| 3 | 3 |