(52x.5x+2) : 25 = 1252
52x.5x+2 = 1252.25 = 56.52
52x+x+2 = 58
53x+2 = 58
=> 3x + 2 = 8
=> 3x = 6
=> x = 2
Ta có: \(\left(5^{2x}\cdot5^{x+2}\right):25=125^2\)
\(\Leftrightarrow5^{3x+2}=5^6\cdot5^2=5^8\)
hay x=2
(52x . 5x + 2) : 25 = 1252
<=> 52x + x + 2 : 25 = 1252
<=> 53x + 2 : 52 = 15625
<=> 53x = 12625
<=> x = 2