Giải:
\(5^{3x}+2=25^x+3\)
\(\Leftrightarrow5^{3x}+2=\left(5^2\right)^x+3\)
\(\Leftrightarrow5^{3x}+2=5^{2x}+3\)
\(\Leftrightarrow5^{3x}-5^{2x}=3-2\)
\(\Leftrightarrow5^x=1\)
\(\Leftrightarrow5^x=5^0\)
Vì \(5=5\)
Nên \(x=0\)
Vậy \(x=0\).
Chúc bạn học tốt!
53x + 2 = 25x + 3
=> 53x + 2 = (52)x + 3
=> 53x + 2 = 52x + 3
=> 53x - 52x = 3 - 2
=> 5x = 1
=> 5x = 50
=> x = 0
Vậy x = 0