Question

5^x+1 =25^x-2 find 3^x-3 ×2^3-x

Answer 1

Solution:-

${5}^{x + 1} = {25}^{x - 2} \\ {5}^{x + 1} = {5}^{2x - 4} \\ x + 1 = 2x - 4 \\ x = 5 \\ \\ {3}^{x - 3} \times {2}^{3 - x} \\ {3}^{5 - 3} \times {2}^{3 - 5} \\ {3}^{2} \times {2}^{ - 2} \\ 9 \times \frac{1}{4} \\ \frac{9}{4 } \\ 2 \frac{1}{4} ans$