Question

Допоможіть, дуже терміново! Математика :(​

Answer 1

Ответ:

1.

${5}^{x + 17} = 5 \\ x + 17 = 1 \\ x = - 16$

2.

${18}^{9x} = 1 \\ {18}^{9x} = {18}^{0} \\ 9x = 0 \\ x = 0$

3.

${7}^{2x} = - 1$

нет корней, так как -1 < 0

4.

${( \frac{2}{9}) }^{5x} = (\frac{9}{2} ) ^{x - 6} \\ {( \frac{2}{9}) }^{5x} = {( \frac{2}{9} )}^{ - ( x - 6)} \\ 5x = - x + 6 \\ 6x = 6 \\ x = 1$

5.

${64}^{5x - 1} = 16 \\ {4}^{3(5x - 1)} = {4}^{2} \\ 15x - 3 = 2 \\ 15x = 5 \\ x = \frac{1}{3}$