ln(1+0.12y)-ln(1+0.12x)=1+0.12(y-x)

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Solution for ln(1+0.12y)-ln(1+0.12x)=1+0.12(y-x) equation: 


Simplifying
ln(1 + 0.12y) + -1ln(1 + 0.12x) = 1 + 0.12(y + -1x)
(1 * ln + 0.12y * ln) + -1ln(1 + 0.12x) = 1 + 0.12(y + -1x)
(1ln + 0.12lny) + -1ln(1 + 0.12x) = 1 + 0.12(y + -1x)
1ln + 0.12lny + (1 * -1ln + 0.12x * -1ln) = 1 + 0.12(y + -1x)
1ln + 0.12lny + (-1ln + -0.12lnx) = 1 + 0.12(y + -1x)

Reorder the terms:
1ln + -1ln + -0.12lnx + 0.12lny = 1 + 0.12(y + -1x)

Combine like terms: 1ln + -1ln = 0
0 + -0.12lnx + 0.12lny = 1 + 0.12(y + -1x)
-0.12lnx + 0.12lny = 1 + 0.12(y + -1x)

Reorder the terms:
-0.12lnx + 0.12lny = 1 + 0.12(-1x + y)
-0.12lnx + 0.12lny = 1 + (-1x * 0.12 + y * 0.12)
-0.12lnx + 0.12lny = 1 + (-0.12x + 0.12y)

Solving
-0.12lnx + 0.12lny = 1 + -0.12x + 0.12y

Solving for variable 'l'.

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

Reorder the terms:
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = 1 + -0.12x + 0.12y + -1 + 0.12x + -0.12y

Reorder the terms:
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = 1 + -1 + -0.12x + 0.12x + 0.12y + -0.12y

Combine like terms: 1 + -1 = 0
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = 0 + -0.12x + 0.12x + 0.12y + -0.12y
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = -0.12x + 0.12x + 0.12y + -0.12y

Combine like terms: -0.12x + 0.12x = 0.00
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = 0.00 + 0.12y + -0.12y
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-1 + -0.12lnx + 0.12lny + 0.12x + -0.12y = 0.00

The solution to this equation could not be determined.

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