Question

$2^{2x-1} +3^{x+1} *2^{x-1} -2* 3^{2x} textless 0$
5*25^{1/x} +3*10^{1/x} geq 2* 4^{1/x} [/tex]

Answer 1

2^2x+3*3^x*2^x-4*3^2x<0/3^2x
(2/3)^2x+3*(2/3)^x-4<0
(2/3)^x=a
a²+3a-4<0
a1+a2=-3 U a1*a2=-4⇒a1=-4 U a2=1
-4<a<1⇒-4<(2/3)^x<1
x>0
x∈(0;∞)