Solve for X $a ^ { 2 x - 1 } = b$

Multiple Choice

Solve for x: $a ^ { 2 x - 1 } = b$

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