Логарифмические уравнения

1. \(\log_3(2x-1)=2\)
2. \(\log_2(x+3)=\log_216\)
3. \(\log_5(x+1)=\log_5(4x-5)\)
4. \(\log_{\frac{1}{3}}(2x-1)=\log_3\frac{1}{x+3}\)
5. \(2\log_{0,5}x=\log_{0,5}(2x^2-x)\)
6. \(\ln(3x-5)=0\)
7. \(\log_5(x-10)=2+\log_52\)
8. \(\lg(3x-2)=3-\lg 25\)
9. \(\lg(3-x)-\lg(x+2)=2\lg2\)
10. \(\log_2(4-x)+\log_2(1-2x)=2\log_23\)
11. \(\lg(x^2-x)=1-\lg5\)
12. \(\log_6(2x^2-x)=1-\log_62\)
13. \(\ln(x^2-6x+9)=\ln3+\ln(x+3)\)
14. \(2\log_3^2 x-7\log_3 x+3=0\)
15. \(\log_3^2 x-3\log_3 x+2=0\)
16. \(\lg^2 x^4-\lg x^{14}-2=0\)
17. \(\log_2^2 x^3-\log_2 x^8-1=0\)
18. \(\log_3\sqrt{2x+1}=1\)
19. \(\log_{1/7}(x+5)=-1\)
20. \(\log_{\sqrt{3}}\frac{1}{3x-5}=0\)
21. \(\log_{2x+3}\frac{1}{4}+2=0\)
22. \(\log_{2/3}\frac{2}{x-1}=1\)
23. \(\log_3\frac{1}{\sqrt{2x+1}}=-1\)
24. \(\log_{3-x}5-\frac{1}{2}=0\)
25. \(\log_{\frac{2x-1}{x+2}}3-1=0\)
26. \(\log_{17}x=\frac{1}{\log_{17}x}\)
27. \(\log_{13}^2 y=\frac{1}{\log_y 13}\)
28. \(\log_{4-x}(2x^2-9x+10)=0\)
29. \(\log_{4-y}(3y^2-7y-5)=0\)
30. \(\log_{19}x^4=\log_{19}(19x)^2\)
31. \((x+8)\log_{x+4}(x+1)=0\)
32. \((x-1)\log_{x+6}(x-7)=0\)
33. \((x^2-16)\lg(1-x)=0\)
34. \((y+3)\lg(y-7)=0\)
35. \(\log_{13}(x^2-3)=\log_{3-x}1\)