Question

Solve for x 2^|x+1|+2^|x|=6

Answer 1

your answer is
${2}^{x + 1} + {2}^{x} = 6 \\ {2}^{x} . {2}^{1} + {2}^{x} = 6 \\ {2}^{x} (2 + 1) = 3 \times 2 \\ {2}^{x } \times 3 = 3 \times {2}^{1} \\ x = 1$