Question

3 raised to x+1 + 3 raised to x-1 = 270 then x =?​

Answer 1

Step-by-step explanation:

${3}^{ x + 1} + {3}^{x - 1} = 270 \\ \\ = > {3}^{x} (3 + {3}^{ - 1)} = 270 \\ \\ = > {3}^{x} (3 + \frac{1}{3} ) = 270 \\ \\ = > {3}^{x} = \frac{270}{ \frac{10}{3} } = 81 = {3}^{4} \\ \\ = > x = 4$