The real roots of the equation $4 ^ { 2 x } + 12 = 2 ^ { 2 x + 3 }$ are $p$ and $q$, where $p > q$.
The value of $p - q$ can be expressed as
A $\frac { 3 } { 4 }$
B 1
C 4
D $- \frac { 1 } { 2 } + \log _ { 10 } \frac { 3 } { 2 }$
E $\frac { \log _ { 10 } 3 } { \log _ { 10 } 4 }$
F $\frac { \log _ { 10 } 3 } { \log _ { 10 } 2 }$