Question

Solve: 3^x+1 + 3^x= 108​

Answer 1

Answer:

x = 3

Step-by-step explanation:

${3}^{(x + 1)} + {3}^{x} = 108 \\ \\ {3}^{x} .3 + {3}^{x} = 108 \\ \\ {3}^{x} (3 + 1) = 108 \\ \\ {3}^{x} (4 )= 108 \\ \\ {3}^{x} = \frac{108}{4} \\ \\ {3}^{x} = 27 \\ \\ {3}^{x} = {3}^{3} \\ \\ \implies x = 3$