y-ln(y-1)=lnx

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Solution for y-ln(y-1)=lnx equation:


Simplifying
y + -1ln(y + -1) = lnx

Reorder the terms:
y + -1ln(-1 + y) = lnx
y + (-1 * -1ln + y * -1ln) = lnx
y + (1ln + -1lny) = lnx

Reorder the terms:
1ln + -1lny + y = lnx

Solving
1ln + -1lny + y = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
1ln + -1lny + -1lnx + y = lnx + -1lnx

Reorder the terms:
1ln + -1lnx + -1lny + y = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
1ln + -1lnx + -1lny + y = 0

Add '-1y' to each side of the equation.
1ln + -1lnx + -1lny + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
1ln + -1lnx + -1lny + 0 = 0 + -1y
1ln + -1lnx + -1lny = 0 + -1y
Remove the zero:
1ln + -1lnx + -1lny = -1y

Combine like terms: -1y + y = 0
1ln + -1lnx + -1lny + y = 0

The solution to this equation could not be determined.

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