Question

Solve for x : 5^2x-1 - (25)^x-1 = 2500

Answer 1

$5^{2x} 5^{-1} -25^{x} 25^{-1} =2500 \\\ 25^{x} 5^{-1} -25^{x} 25^{-1} =2500 \\\ 25^{x} ( 5^{-1} -25^{-1}) =2500 \\\ 25^{x} ( \frac{1}{5}-\frac{1}{25})=2500 \\\ 25^{x} (\frac{4}{25} ) =2500 \\\ 25^{x}=2500 X \frac{25}{4} \\\ 25^{x}= 625X25 \\\ 25^{x}=25^{3} \\\ x=3$

Answer 2

Answer:

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