ln(3x-6)=ln(x-6)

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Solution for ln(3x-6)=ln(x-6) equation:


Simplifying
ln(3x + -6) = ln(x + -6)

Reorder the terms:
ln(-6 + 3x) = ln(x + -6)
(-6 * ln + 3x * ln) = ln(x + -6)
(-6ln + 3lnx) = ln(x + -6)

Reorder the terms:
-6ln + 3lnx = ln(-6 + x)
-6ln + 3lnx = (-6 * ln + x * ln)
-6ln + 3lnx = (-6ln + lnx)

Add '6ln' to each side of the equation.
-6ln + 6ln + 3lnx = -6ln + 6ln + lnx

Combine like terms: -6ln + 6ln = 0
0 + 3lnx = -6ln + 6ln + lnx
3lnx = -6ln + 6ln + lnx

Combine like terms: -6ln + 6ln = 0
3lnx = 0 + lnx
3lnx = lnx

Solving
3lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
3lnx + -1lnx = lnx + -1lnx

Combine like terms: 3lnx + -1lnx = 2lnx
2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2lnx = 0

Divide each side by '2'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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