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29. \(\frac{5}{7} \cdot 3^{x} + \frac{2}{7} \cdot 3^{x+2} = \frac{5}{7} \cdot 3^{7} + \frac{2}{7} \cdot 3^{9}\)
31. \(\frac{5}{3} \cdot 8^{x+2} - \frac{3}{5} \cdot 8^{x} = \frac{5}{3} \cdot 8^{11} - \frac{3}{5} \cdot 8^{9}\)
33. \(\left( \frac{1}{3} + \frac{1}{6} \right) 2^{x} + 2^{x+1} = 2^{12} + 2^{10}\)
35. \(\left( \frac{1}{2} - \frac{1}{3} \right) 6^{x} + 6^{x+2} = 6^{15} + 6^{18}\)
37. \(\left( \frac{1}{2} - \frac{1}{6} \right) 3^{x} + 3^{x+1} = 3^{16} + 3^{13}\)
39. \(\left( \frac{1}{3} + \frac{1}{6} \right) 2^{x+4} - 2^{x} = 2^{13} - 2^{10}\)
40. \(\left( \frac{1}{2} - \frac{1}{6} \right) 3^{x+4} - 4^{3^{x}} = 3^{16} - 4^{3^{13}}\)