[tex]1) \\ \\ {3}^{4x - 1} = 27 \\ \\ {3}^{4x - 1} = {3}^{3} \\ \\ 4x - 1 = 3 \\ \\ (4x - 1) + 1 = 3 + 1 \\ \\ 4x - 1 + 1 = 4 \\ \\ 4x = 4 \\ \\ \frac{4x}{4} = \frac{4}{4} \\ \\ x = 1 \\ \\ 2) \\ \\ \sqrt{2x + 1} = 1 \\ \\ 2x + 1 = 1 \\ \\ 2x = 0 \\ \\ x = 0 \\ \\ 3) \\ \\ ( \frac{5}{2} - 1) \times 2 = 3 \\ \\ \frac{3}{2} \times 2 = 3 \\ \\ \frac{6}{2} = 3 \\ \\ 3 = 3[/tex]
