Question

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

Answer 1

Answer:

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