ln(5x-4)=ln(x-4)

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Solution for ln(5x-4)=ln(x-4) equation:


Simplifying
ln(5x + -4) = ln(x + -4)

Reorder the terms:
ln(-4 + 5x) = ln(x + -4)
(-4 * ln + 5x * ln) = ln(x + -4)
(-4ln + 5lnx) = ln(x + -4)

Reorder the terms:
-4ln + 5lnx = ln(-4 + x)
-4ln + 5lnx = (-4 * ln + x * ln)
-4ln + 5lnx = (-4ln + lnx)

Add '4ln' to each side of the equation.
-4ln + 4ln + 5lnx = -4ln + 4ln + lnx

Combine like terms: -4ln + 4ln = 0
0 + 5lnx = -4ln + 4ln + lnx
5lnx = -4ln + 4ln + lnx

Combine like terms: -4ln + 4ln = 0
5lnx = 0 + lnx
5lnx = lnx

Solving
5lnx = 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.
5lnx + -1lnx = lnx + -1lnx

Combine like terms: 5lnx + -1lnx = 4lnx
4lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 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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