Question

Please solve it with correct answer ​

Answer 1

Step-by-step explanation:

${5}^{x + 1} + {5}^{x - 1} = 650 \\ {5}^{x} .5 + {5}^{x} . {5}^{ - 1} = 650 \\ {5}^{x} (5 + \frac{1}{5} ) = 650 \\ {5}^{x} ( \frac{26}{5} ) = 650 \\ {5}^{x} = \frac{650 \times 5}{26} \\ {5}^{x} = 125 \\ {5}^{x} = {5}^{3} \\ x = 3$