ln(x)-ln(x-9)=ln(4)

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Solution for ln(x)-ln(x-9)=ln(4) equation:


Simplifying
ln(x) + -1ln(x + -9) = ln(4)

Multiply ln * x
lnx + -1ln(x + -9) = ln(4)

Reorder the terms:
lnx + -1ln(-9 + x) = ln(4)
lnx + (-9 * -1ln + x * -1ln) = ln(4)
lnx + (9ln + -1lnx) = ln(4)

Reorder the terms:
9ln + lnx + -1lnx = ln(4)

Combine like terms: lnx + -1lnx = 0
9ln + 0 = ln(4)
9ln = ln(4)

Reorder the terms for easier multiplication:
9ln = 4ln

Solving
9ln = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
9ln + -4ln = 4ln + -4ln

Combine like terms: 9ln + -4ln = 5ln
5ln = 4ln + -4ln

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

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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