ln(x)-ln(x-4)=ln(18)

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Solution for ln(x)-ln(x-4)=ln(18) equation:


Simplifying
ln(x) + -1ln(x + -4) = ln(18)

Multiply ln * x
lnx + -1ln(x + -4) = ln(18)

Reorder the terms:
lnx + -1ln(-4 + x) = ln(18)
lnx + (-4 * -1ln + x * -1ln) = ln(18)
lnx + (4ln + -1lnx) = ln(18)

Reorder the terms:
4ln + lnx + -1lnx = ln(18)

Combine like terms: lnx + -1lnx = 0
4ln + 0 = ln(18)
4ln = ln(18)

Reorder the terms for easier multiplication:
4ln = 18ln

Solving
4ln = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
4ln + -18ln = 18ln + -18ln

Combine like terms: 4ln + -18ln = -14ln
-14ln = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-14ln = 0

Divide each side by '-14'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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