Question

2^(x+2) + 3*2^(x-1)=11/4. Cum se face, va rog? Am nevoie de sa aflu x

Answer 1

Explicație pas cu pas:

${2}^{x} \times {2}^{2} + 3 \times {2}^{x} \div 2 = 11 \div 4 \\ {2}^{x} (4 + \frac{3}{2} ) = \frac{11}{4} \\ {2}^{x} \times ( \frac{8 + 3}{2} ) = \frac{11}{4} \\ {2}^{x} = \frac{11}{4} \times \frac{2}{11} \\ {2}^{x} = \frac{1}{2} \\ x = - 1$