Question

If 5^5x -1 ÷ 5^2x = 5^2 × 5^3, then find the value of x​

Answer 1

$question = {5}^{5x - 1} \div {5}^{2x} = {5}^{2} \times {5}^{3} \\ then \: find \: the \: value \: of \: x. \\ formula = {a}^{2} \div {a}^{2} = {a}^{2 - 2} . \\ and \: {a}^{2} \times {a}^{2} = {a}^{2 + 2} . \\ now. \\ 5x - 1 - 2x = 2 + 3 \\ 3x - 1 = 5 \\ 3x = 5 + 1 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2 \: answer...$