ln(2x+3)-ln(x+7)=3

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Solution for ln(2x+3)-ln(x+7)=3 equation:


Simplifying
ln(2x + 3) + -1ln(x + 7) = 3

Reorder the terms:
ln(3 + 2x) + -1ln(x + 7) = 3
(3 * ln + 2x * ln) + -1ln(x + 7) = 3
(3ln + 2lnx) + -1ln(x + 7) = 3

Reorder the terms:
3ln + 2lnx + -1ln(7 + x) = 3
3ln + 2lnx + (7 * -1ln + x * -1ln) = 3
3ln + 2lnx + (-7ln + -1lnx) = 3

Reorder the terms:
3ln + -7ln + 2lnx + -1lnx = 3

Combine like terms: 3ln + -7ln = -4ln
-4ln + 2lnx + -1lnx = 3

Combine like terms: 2lnx + -1lnx = 1lnx
-4ln + 1lnx = 3

Solving
-4ln + 1lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + -4ln + 1lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -4ln + 1lnx = 0

The solution to this equation could not be determined.

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