Question

4la puterea x=3*2la puterea x+4 URGENTTT

Answer 1

$4^{x}=3* 2^{x} +4, Notam . 2^{x}=y\ \textgreater \ 0 .avem 4^{x}= (2^{2})^x =( 2^{x})^2=y$ se obtine ecuatia:
$y^{2}-3y-4=0 .$ Δ=3^2-4*1*(-4)=25. √Δ=5, deci radacinule sunt $y_{1}=4 .si. y_{2} =-1.radacina.ce .nu. corespunde. conditiei .y\ \textgreater \ 0. Deci : 2^{x}=4= 2^{2}$ solutie x=2