Question

Помогите, пожалуйста
$4^{ sqrt{x} } -0,5^{x-3} =0$

Answer 1

$4^{sqrt{x}}-0,5^{x-3}=0\ ODZ: xgeq 0\ 2^{2sqrt{x}}-2^{3-x}=0\ 2^{2sqrt{x}}=2^{3-x}\ 2sqrt{x}=3-x\ begin{cases}4x=9-6x+x^2\ 3-xgeq 0end{cases}\ begin{cases}x^2-10x+9=0\ xleq 3end{cases}\ x_1=1, x_2=9(x> 3)\ OTBET: x=1$