Question

if 5 power 2x-1 -(25)power x-1=2500, then find the value of x

Answer 1

see in the pic
use power law and take common
hope it is not wrong and helps you frnd

Answer 2

${5}^{2x - 1} - {5}^{2x - 2} =2500 \\ {5}^{2x} (1 \div 5 - 1 \div 25) = 2500 \\ {5}^{2x} (4 \div 25) = 2500 \\ {5}^{2x} = 2500 \times 25 \div 4 \\ {5}^{2x} = {5}^{6 } \\ 2x = 6 \\ x = 3$