Question

5 power 2 x-1 minus 5 power x minus 1 equal 2500 then find x

Answer 1

5^2x-1-25^x-1=2500

5^2x-1-5^2x-2=5^4×4

5^2x-1( 1-5^-1)=5^4×4

5^2x-1(1-1/5) =5^4×4

5^2x-1(5-1/5) =5^4×4

5^2x-1(4/5) =5^4×4

5^2x-1 =5^4×4×5/4

5^2x-1=5^5

on comparing both sides

2x-1=5

2x=5+1

2x = 6

x=6/2

x=3

Hope it helps✌️ ✌️

Please mark as Brainliest. ..