2^(2х+2)-2^(2х-2)=30

2^(2х+2)-2^(2х-2)=302^2х(4-1/4)=302^(2х)=30:15/42^2х=30*4/152^2x=82^2х=2^32x=3x=1,5

[latex]2^2 cdot 2^{2x} -frac{2^{2x}}{2^2} =30 \ \ 2^{2x} cdot (4- frac{1}{4})=30 \ \ 2^{2x} cdot frac{15}{4}=30 \ \ 2^{2x}=30 cdot frac{4}{15} \ \ 2^{2x}=8 \ \ 2^{2x}=2^3 \ \ 2x=3 Rightarrow x =frac{3}{2}[/latex]