25^x-1=5^2x-1 - 100 – InterviewSolution

1.

25^x-1=5^2x-1 - 100

Answer»

25^x-1 = 5^2x-1 - 100

(5)^2x - 2 = 5^2x-1 - 100

5^2x-1 - 5^2x-2 = 100

5^2x(1/5 - 1/25) = 100

5^2x(20/25) = 100

5^2x = 100*25/20

5^2x = 5^3

2x = 3

x = 3/2

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