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To get from left to right, we need to isolate the variable on one side of the equation.
1. First, multiply both sides of the equation by 2 to get rid of the fraction:
2(1/2x - 3) = ln(2x - 3) / 2 * 2
Simplifying gives us:
x - 6 = ln(2x - 3)
2. Next, add 6 to both sides to isolate the logarithm term:
x - 6 + 6 = ln(2x - 3) + 6
Simplifying gives us:
x = ln(2x - 3) + 6
Therefore, the equation 1/2x - 3 = ln(2x - 3) / 2 can be simplified to x = ln(2x - 3) + 6.