Solve for X $a ^ { 2 x - 2 } = b$

Solve for x: $a ^ { 2 x - 2 } = b$

A) $x = \frac { 1 } { 2 } \left( 2 + \frac { \ln b } { \ln a } \right)$
B) $\frac { \ln b } { 2 \ln a }$
C) $\left( \frac { \ln b } { \ln a } + 2 \right) ^ { 2 }$
D) $x = 1 + \frac { 1 } { 2 } \left( 2 + \frac { \ln b } { \ln a } \right)$

Correct Answer:

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