0, x>-1, \\ x+1=2^2, \\ x=3;" alt="log_2(x+1)=2, \\ x+1>0, x>-1, \\ x+1=2^2, \\ x=3;" align="absmiddle" class="latex-formula">
0, 5x>-7, x>-1,4, \\ 5x+7=22, \\ 5x=15, \\ x=3;" alt="log_{17}(5x+7)=log_{17}22, \\ 5x+7>0, 5x>-7, x>-1,4, \\ 5x+7=22, \\ 5x=15, \\ x=3;" align="absmiddle" class="latex-formula">
![log_3(7x+1)=3log_94, \\ log_3(7x+1)=3log_{3^2}4, \\ log_3(7x+1)=\frac{3}{2}log_34, \\ log_3(7x+1)=log_34^{\frac{3}{2}}, \\ 7x+1=\sqrt{4^3}, \\ 7x+1=8, \\ 7x=7, \\ x=1; log_3(7x+1)=3log_94, \\ log_3(7x+1)=3log_{3^2}4, \\ log_3(7x+1)=\frac{3}{2}log_34, \\ log_3(7x+1)=log_34^{\frac{3}{2}}, \\ 7x+1=\sqrt{4^3}, \\ 7x+1=8, \\ 7x=7, \\ x=1;](https://tex.z-dn.net/?f=log_3%287x%2B1%29%3D3log_94%2C+%5C%5C+log_3%287x%2B1%29%3D3log_%7B3%5E2%7D4%2C+%5C%5C+log_3%287x%2B1%29%3D%5Cfrac%7B3%7D%7B2%7Dlog_34%2C+%5C%5C+log_3%287x%2B1%29%3Dlog_34%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%2C+%5C%5C+7x%2B1%3D%5Csqrt%7B4%5E3%7D%2C+%5C%5C+7x%2B1%3D8%2C+%5C%5C+7x%3D7%2C+%5C%5C+x%3D1%3B)
0, x>-4, \\ 4+x=4, \\ x=0." alt="log_3(4+x) =log_34, \\ 4+x>0, x>-4, \\ 4+x=4, \\ x=0." align="absmiddle" class="latex-formula">