Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(lg • (x - 2)) - 2lg • (1 - x) = 0

STEP

2

:

Equation at the end of step 2

lg • (x - 2) - 2lg • (1 - x) = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

3lgx - 4lg = lg • (3x - 4)

Equation at the end of step

4

:

lg • (3x - 4) = 0

STEP

5

:

Theory - Roots of a product