Question

РЕШИТЕ ФОТО ПРИКРЕПЛЕНЫ!">

Answer 1

1.

$12x + 9 = 5 \\ 12x = - 4 \\ x = - \frac{4}{12} \\ x = - \frac{1}{3}$

2.

$\frac{3x}{4x - 1} = 2 \\ \\ 4x - 1\ne0 \\ x\ne \frac{1}{4} \\ \\ 3x = 2(4x - 1) \\ 3x = 8x - 2 \\ - 5x = - 2 \\ x = \frac{2}{5} \\ x = 0.4$

3.

${3}^{x - 1} = {3}^{2x} \\ x - 1 = 2x \\ x = - 1$

4.

${x}^{7} = 10 \\ x = \sqrt[7]{10}$

5.

${5}^{x} = {125}^{3 - 2x} \\ {5}^{x} = {5}^{3( 3 - 2x)} \\ x = 9 - 6x \\ 7x = 9 \\ x = \frac{9}{7}$

6.

$log_{5}(x) = 7 \\ x = {5}^{7} \\ x = 78125$

7.

$log_{36}(2x) = log_{6}(3) \\ log_{ {6}^{2} }(2x) = log_{6}(3) \\ \frac{1}{2} log_{6}(2x) = log_{6}(3) \: \: \: | \times 2 \\ log_{6}(2x) = 2 log_{6}(3) \\ log_{6}(2x) = log_{6}( {3}^{2} ) \\ 2x = {3}^{2} \\ 2x = 9 \\ x = 4.5$

8.

$log_{7}(x) + log_{7}(3) = log_{7}(12) \\ log_{7}(x \times 3) = log_{7}(12) \\ 3x = 12 \\ x = 4$