Question

Solve: 3^x+1 + 3^x= 108​

Answer 1

x = 3

Explanation:

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