Question

a) 2 la puterea 3x+1 = 4 la puterea 2x
b) 4 la puterea x-2 = 8 la puterea 3-x​

Answer 1

a)

${2}^{3x + 1} = {4}^{2x} \\ {2}^{3x + 1} = {2}^{2 \times 2x} \\ x + 1 = 4x \\ 5x = 1 \\ x = \frac{1}{5}$

b)

${4}^{x - 2} = {8}^{3 - x} \\ {2}^{2(x - 2)} = {2}^{3(3 - x)} \\ 2x - 4 = 9 - 3x \\ x = 13$