ln(x)+ln(x-4)=ln(2x)

Solution for ln(x)+ln(x-4)=ln(2x) equation:

Simplifying
ln(x) + ln(x + -4) = ln(2x)

Multiply ln * x
lnx + ln(x + -4) = ln(2x)

Reorder the terms:
lnx + ln(-4 + x) = ln(2x)
lnx + (-4 * ln + x * ln) = ln(2x)
lnx + (-4ln + lnx) = ln(2x)

Reorder the terms:
-4ln + lnx + lnx = ln(2x)

Combine like terms: lnx + lnx = 2lnx
-4ln + 2lnx = ln(2x)

Remove parenthesis around (2x)
-4ln + 2lnx = ln * 2x

Reorder the terms for easier multiplication:
-4ln + 2lnx = 2ln * x

Multiply ln * x
-4ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
-4ln + 2lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln + 0 = 2lnx + -2lnx
-4ln = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln = 0

Solving
-4ln = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Divide each side by '-4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.