ln(x-2)-ln(x)=ln(54)

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Solution for ln(x-2)-ln(x)=ln(54) equation:


Simplifying
ln(x + -2) + -1ln(x) = ln(54)

Reorder the terms:
ln(-2 + x) + -1ln(x) = ln(54)
(-2 * ln + x * ln) + -1ln(x) = ln(54)
(-2ln + lnx) + -1ln(x) = ln(54)

Multiply ln * x
-2ln + lnx + -1lnx = ln(54)

Combine like terms: lnx + -1lnx = 0
-2ln + 0 = ln(54)
-2ln = ln(54)

Reorder the terms for easier multiplication:
-2ln = 54ln

Solving
-2ln = 54ln

Solving for variable 'l'.

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

Add '-54ln' to each side of the equation.
-2ln + -54ln = 54ln + -54ln

Combine like terms: -2ln + -54ln = -56ln
-56ln = 54ln + -54ln

Combine like terms: 54ln + -54ln = 0
-56ln = 0

Divide each side by '-56'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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