If 5^2x-1 – (25)^x-1 =2500, find the value of x.
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Solution:
X=3
Explaination:
5^(2x-1)-25(x-1)=2500
5^(2x-1)-5^(2x-2)=(5^2)×(5^2)×(2^2)
5^(2x-1)[1-5^(-1)]=(5^4)×(2^2)
5^(2x-1)=5^5
2x-1=5
2x=5+1
2x=6
x=6/2
x=3
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