lnx=ln(x-1)+1

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Solution for lnx=ln(x-1)+1 equation:


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

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

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

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

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

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

Solving
0 = 1 + -1ln

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
0 + ln = 1 + -1ln + ln
Remove the zero:
ln = 1 + -1ln + ln

Combine like terms: -1ln + ln = 0
ln = 1 + 0
ln = 1

Divide each side by 'n'.
l = n-1

Simplifying
l = n-1

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