ln(2x-3)-ln(x+5)=3

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Solution for ln(2x-3)-ln(x+5)=3 equation:


Simplifying
ln(2x + -3) + -1ln(x + 5) = 3

Reorder the terms:
ln(-3 + 2x) + -1ln(x + 5) = 3
(-3 * ln + 2x * ln) + -1ln(x + 5) = 3
(-3ln + 2lnx) + -1ln(x + 5) = 3

Reorder the terms:
-3ln + 2lnx + -1ln(5 + x) = 3
-3ln + 2lnx + (5 * -1ln + x * -1ln) = 3
-3ln + 2lnx + (-5ln + -1lnx) = 3

Reorder the terms:
-3ln + -5ln + 2lnx + -1lnx = 3

Combine like terms: -3ln + -5ln = -8ln
-8ln + 2lnx + -1lnx = 3

Combine like terms: 2lnx + -1lnx = 1lnx
-8ln + 1lnx = 3

Solving
-8ln + 1lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + -8ln + 1lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -8ln + 1lnx = 0

The solution to this equation could not be determined.

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