Question

if 5^2x-1 - 25^x-1=2500 , find the value of x​

Answer 1

Step-by-step explanation:

5

2x−1

−25

x−1

=2500

⇒5

2x−1

−5

2(x−1)

=2500

⇒5

2x−1

−5

2x−2

=2500

⇒5.5

2x−2

−5

2x−2

=2500

⇒4.5

2x−2

=2500

⇒5

2x−2

=25∗25

⇒5

2x−2

=5

4

⇒2x−2=4

⇒2x=6

⇒x=3