Question

Rezolvati ecuatia:

4ˣ+4=5 × 2ˣ

Answer 1

$2^{2} totul.la.x +4=5* 2^{x}$
[tex] 2^{2x} -5* 2^{x} +4=0 [/tex]
Notam : $2^{x}$ = t , t>0
$t^{2} -5t+4=0$ => Δ = 9
$t_{1} = \frac{5+3}{2} = 4$
$t_{2} = \frac{5-3}{2} = 1$

pt t=4 => $2^{x} = 4$ => x=2
pt x=1 => $2^{x} = 1$=> x=0