ln(2x-4)=ln(6x-4)

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Solution for ln(2x-4)=ln(6x-4) equation:


Simplifying
ln(2x + -4) = ln(6x + -4)

Reorder the terms:
ln(-4 + 2x) = ln(6x + -4)
(-4 * ln + 2x * ln) = ln(6x + -4)
(-4ln + 2lnx) = ln(6x + -4)

Reorder the terms:
-4ln + 2lnx = ln(-4 + 6x)
-4ln + 2lnx = (-4 * ln + 6x * ln)
-4ln + 2lnx = (-4ln + 6lnx)

Add '4ln' to each side of the equation.
-4ln + 4ln + 2lnx = -4ln + 4ln + 6lnx

Combine like terms: -4ln + 4ln = 0
0 + 2lnx = -4ln + 4ln + 6lnx
2lnx = -4ln + 4ln + 6lnx

Combine like terms: -4ln + 4ln = 0
2lnx = 0 + 6lnx
2lnx = 6lnx

Solving
2lnx = 6lnx

Solving for variable 'l'.

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

Add '-6lnx' to each side of the equation.
2lnx + -6lnx = 6lnx + -6lnx

Combine like terms: 2lnx + -6lnx = -4lnx
-4lnx = 6lnx + -6lnx

Combine like terms: 6lnx + -6lnx = 0
-4lnx = 0

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

Simplifying
lnx = 0

The solution to this equation could not be determined.

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