ln(x-5)+ln(x+2)=ln(2x-4)

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Solution for ln(x-5)+ln(x+2)=ln(2x-4) equation:


Simplifying
ln(x + -5) + ln(x + 2) = ln(2x + -4)

Reorder the terms:
ln(-5 + x) + ln(x + 2) = ln(2x + -4)
(-5 * ln + x * ln) + ln(x + 2) = ln(2x + -4)
(-5ln + lnx) + ln(x + 2) = ln(2x + -4)

Reorder the terms:
-5ln + lnx + ln(2 + x) = ln(2x + -4)
-5ln + lnx + (2 * ln + x * ln) = ln(2x + -4)
-5ln + lnx + (2ln + lnx) = ln(2x + -4)

Reorder the terms:
-5ln + 2ln + lnx + lnx = ln(2x + -4)

Combine like terms: -5ln + 2ln = -3ln
-3ln + lnx + lnx = ln(2x + -4)

Combine like terms: lnx + lnx = 2lnx
-3ln + 2lnx = ln(2x + -4)

Reorder the terms:
-3ln + 2lnx = ln(-4 + 2x)
-3ln + 2lnx = (-4 * ln + 2x * ln)
-3ln + 2lnx = (-4ln + 2lnx)

Add '-2lnx' to each side of the equation.
-3ln + 2lnx + -2lnx = -4ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-3ln + 0 = -4ln + 2lnx + -2lnx
-3ln = -4ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-3ln = -4ln + 0
-3ln = -4ln

Solving
-3ln = -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.
-3ln + 4ln = -4ln + 4ln

Combine like terms: -3ln + 4ln = 1ln
1ln = -4ln + 4ln

Combine like terms: -4ln + 4ln = 0
1ln = 0

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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