Question

va rog ajutati ma . ecuatie exponentiala
$6 ^{2x + 4} = 2 {}^{8 + x} \times 3 {}^{3x}$

Answer 1

[tex]6^{2x+4}=2^{8+x}\cdot3^{3x}\Leftrightarrow (2\cdot3)^{2x+4}=2^{8+x}\cdot3^{3x}\Leftrightarrow 2^{2x+4}\cdot3^{2x+4}\\ \\ =2^{8+x}\cdot3^{3x}\Leftrightarrow \left \{ {{2x+4=8+x} \atop {2x+4=3x}} \right. \Leftrightarrow 8+x=3x\Leftrightarrow 2x=8\Leftrightarrow x=4[/tex]