Question

find the value of X if 5^2x-1-(25)^x-1=2500
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Answer 1

Answer:

Step-by-step explanation:Given,5^(2x-1)-25^(x-1)=2500

or,5^(2x-1)-5^2(x-1)= 5^4×4

or,5^(2x-1)-5^(2x-2)^=4×5^4

or,5^(2x)×(1/5-1/5^2)=4×5^4

or,5^2x=(5^2/4)×4×5^4

or,5^2x=5^2×5^4×4/4=5^(2+4)=5^6

or,2x=6

or,x=3