Provide an Appropriate Response $2^{2 x + 1 }= 7$ For $x$

Multiple Choice

Provide an appropriate response.
-Solve $2^{2 x + 1 }= 7$ for $x$ . Give an exact solution and a four-decimal-place approximation.

A) $\frac { \log 6 } { 2 \log 2 } ; 1.2925$
B) $\frac { 5 } { 4 } ; 1.2500$
C) $\frac { 1 } { 2 } \left( \frac { \log 2 } { \log 7 } - 1 \right) ; - 0.3219$
D) $\frac { 1 } { 2 } \left( \frac { \log 7 } { \log 2 } - 1 \right) ; 0.9037$