Quadratic Logarithmic Equations
1. Solve:
log(x + 24) + log(x -24) = 2 x > 24
Solution:
log(x + 24) + log(x -24) = 2
log( (x +24)(x – 24)) = log100
(x +24)(x -24) = 100
x2 – 576 = 100
x2 – 676 = 0
(x – 26)(x + 26) = 0 => x1 = 26 v x2 = -26
K = {26}
log(x + 24) + log(x -24) = 2
log( (x +24)(x – 24)) = log100
(x +24)(x -24) = 100
x2 – 576 = 100
x2 – 676 = 0
(x – 26)(x + 26) = 0 => x1 = 26 v x2 = -26
K = {26}
2. Solve:
Solution:
3. Solve:
Solution:
4. Solve:
5. Solve:
6. Solve:
7. Solve:
8. Solve:
9. Solve:
10. Solve in real numbers:
11. Solve in real numbers:
12. Solve in real numbers:
13. Solve in real numbers:
14. Solve in real numbers:
15. Solve in real numbers:
16. Solve in real numbers:
17. Solve in real numbers:
18.Solve in real numbers:
19. Solve in real numbers:
20. Solve in real numbers:
