k(x)=ln(x-1)

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Solution for k(x)=ln(x-1) equation: 


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

Multiply k * x
kx = ln(x + -1)

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

Solving
kx = -1ln + lnx

Solving for variable 'k'.

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

Divide each side by 'x'.
k = -1lnx-1 + ln

Simplifying
k = -1lnx-1 + ln

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

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