ln(25y-3)-ln(y+4)=3

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Solution for ln(25y-3)-ln(y+4)=3 equation:


Simplifying
ln(25y + -3) + -1ln(y + 4) = 3

Reorder the terms:
ln(-3 + 25y) + -1ln(y + 4) = 3
(-3 * ln + 25y * ln) + -1ln(y + 4) = 3
(-3ln + 25lny) + -1ln(y + 4) = 3

Reorder the terms:
-3ln + 25lny + -1ln(4 + y) = 3
-3ln + 25lny + (4 * -1ln + y * -1ln) = 3
-3ln + 25lny + (-4ln + -1lny) = 3

Reorder the terms:
-3ln + -4ln + 25lny + -1lny = 3

Combine like terms: -3ln + -4ln = -7ln
-7ln + 25lny + -1lny = 3

Combine like terms: 25lny + -1lny = 24lny
-7ln + 24lny = 3

Solving
-7ln + 24lny = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + -7ln + 24lny = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7ln + 24lny = 0

The solution to this equation could not be determined.

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