Question

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Answer 1

Answer:

Given

${5}^{x + 1} + {5}^{x - 1} = 650$

${5}^{(x + 1 + x - 1)} = 650$

As

${a}^{n} + {a}^{m} = {a}^{m + n}$

hence

${5}^{2x} = 2 \times 5 \times 5 \times 13 \\ {5}^{2x} = 2 \times {5}^{2} \times 13$

${5}^{2x} = {5}^{2} \\ 2x = 2 \\ x = 1$

Answer 2

Answer:

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