Question

2^(2х+2)-2^(2х-2)=30

Answer 1

2^(2х+2)-2^(2х-2)=30
2^2х(4-1/4)=30
2^(2х)=30:15/4
2^2х=30*4/15
2^2x=8
2^2х=2^3
2x=3
x=1,5

Answer 2

$2^2 \cdot 2^{2x} -\frac{2^{2x}}{2^2} =30 \\\ \\ 2^{2x} \cdot (4- \frac{1}{4})=30 \\ \\ 2^{2x} \cdot \frac{15}{4}=30 \\ \\ 2^{2x}=30 \cdot \frac{4}{15} \\ \\ 2^{2x}=8 \\ \\ 2^{2x}=2^3 \\ \\ 2x=3 \ \Rightarrow \ x =\frac{3}{2}$