Question

Determinați in R ecuatia 2^2x + 3×4^x -16=0

Answer 1

$2^{2x}+3*4^x-16=0$
$2^{2x}+3*(2^2)^x-16=0$
$2^{2x}+3*2^{2x}-16=0$
[tex]4*2^{2x}=16 \\ 2^{2x}=4[/tex]
$2^{2x}= 2^2 \rightarrow 2x=2 \rightarrow x=1$