Question

if 5^x-5^X-2=3000 find the value of x​

Answer 1

Answer:

$= > {5}^{x} - {5}^{x - 2} = 3000 \\ = > {5}^{x} - \frac{ {5}^{x} }{ {5}^{2} } = 3000 \\ = > {5}^{x} - \frac{ {5}^{x} }{25} = 3000 \\ = > \frac{25 .{5}^{x} - {5}^{x} }{25} = 3000 \\ = > 24. {5}^{x} = 3000 \times 25 \\ = > {5}^{x} = \frac{3000 \times 25}{24} \\ = > {5}^{x} = 125 \times 25 \\ = > {5}^{x} = {5}^{3} \times {5}^{2} \\ = > {5}^{x} = {5}^{3 + 2} \\ = > x = 3 + 2 \\ = > x = 5$