Question

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Answer 1

Answer:

x = 2

Step-by-step explanation:

30625 = 7 × 7 × 5 × 5 × 5 × 5

${7}^{(5x - 8)} \times {5}^{x + 2} = 30625\\ 30625 = 7 \times 7 \times 5 \times 5 \times 5 \times 5 \\ 30625 = {7}^{2} \times {5}^{4} \\ {7}^{(5x - 8)} = {7}^{2} \\ 5x - 8 = 2 \\ 5x = 2 + 8 = 10 \\ x = \frac{10}{5} = 2 \\ \\ {5}^{x + 2} = {5}^{4} \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2$