Question

Решите пожалуйста..............

Answer 1

$1. {10}^{7 - 3x} = {10}^{3} \\ 7 - 3x = 3 \\ - 3x = 3 - 7 \\ - 3x = - 4 \\ x = \frac{4}{3} \\ 2.65536 - 256 - 12 = 0 \\ 65268 = 0 \\ lozh \\ 3. ({3}^{3} - 3 - 1) \times {3}^{x - 1} = 207 \\ 23 \times {3}^{x - 1} = 207 \\ {3}^{x - 1} = 9 \\ {3}^{x - 1} = {3}^{2} \\ x - 1 = 2 \\ x = 2 + 1 \\ x = 3 \\ 1. {2}^{ - 3 + 4x} < {2}^{ - 7} \\ - 3 + 4x < - 7 \\ 4x < - 7 + 3 \\ 4x < - 4 \\ x < - 1 \\ 2. \: {2}^{x} {}^{2 - 7x + 12} \geqslant {2}^{0} \\ {x}^{2} - 7x + 12 \geqslant 0 \\ {x}^{2} - 3x - 4x + 12 \geqslant 0 \\ x(x - 3) - 4(x - 3) \geqslant 0 \\ (x - 3)(x - 4) \geqslant 0 \\ x - 3 \geqslant 0 \\ x - 4 \geqslant 0 \\ x - 3 \leqslant 0 \\ x - 4 \leqslant 0 \\ x \geqslant 3 \\ x \geqslant 4 \\ x \leqslant 3 \\ x \leqslant 4 \\ x = (4 \: \: \: \: \: \: + \infty) \\ x = ( - \infty \: \: \: \: \: \: 3) \\ 1. \: y = {2}^{x} \\ y = 3 - x$