In(y-1)-lny=3x

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Solution for In(y-1)-lny=3x equation:


Simplifying
In(y + -1) + -1lny = 3x

Reorder the terms:
nI(-1 + y) + -1lny = 3x
(-1 * nI + y * nI) + -1lny = 3x
(-1nI + nyI) + -1lny = 3x

Reorder the terms:
-1lny + -1nI + nyI = 3x

Solving
-1lny + -1nI + nyI = 3x

Solving for variable 'l'.

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

Add 'nI' to each side of the equation.
-1lny + -1nI + nI + nyI = nI + 3x

Combine like terms: -1nI + nI = 0
-1lny + 0 + nyI = nI + 3x
-1lny + nyI = nI + 3x

Add '-1nyI' to each side of the equation.
-1lny + nyI + -1nyI = nI + -1nyI + 3x

Combine like terms: nyI + -1nyI = 0
-1lny + 0 = nI + -1nyI + 3x
-1lny = nI + -1nyI + 3x

Divide each side by '-1ny'.
l = -1y-1I + I + -3n-1xy-1

Simplifying
l = -1y-1I + I + -3n-1xy-1

Reorder the terms:
l = I + -3n-1xy-1 + -1y-1I

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