1

$4 \cdot \log(2x - 4) = 12$

$\rightarrow$

$\log(2x - 4) = 3$

2

$\log(2x - 4) = 3$

$\rightarrow$

$2x - 4 = 10^3$

3

$2x - 4 = 10^3$

$\rightarrow$

$2x - 4 = 1000$

4

$2x - 4 = 1000$

$\rightarrow$

$2x = 1004$

5

$2x = 1004$

$\rightarrow$

$x = 502$