Ln*(x-1)-(ln*x)=3+(ln*3)

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Solution for Ln*(x-1)-(ln*x)=3+(ln*3) equation:


Simplifying
Ln(x + -1) + -1(ln * x) = 3 + (ln * 3)

Reorder the terms:
nL(-1 + x) + -1(ln * x) = 3 + (ln * 3)
(-1 * nL + x * nL) + -1(ln * x) = 3 + (ln * 3)
(-1nL + nxL) + -1(ln * x) = 3 + (ln * 3)

Multiply ln * x
-1nL + nxL + -1(lnx) = 3 + (ln * 3)

Reorder the terms:
-1lnx + -1nL + nxL = 3 + (ln * 3)

Reorder the terms for easier multiplication:
-1lnx + -1nL + nxL = 3 + (3ln)

Solving
-1lnx + -1nL + nxL = 3 + (3ln)

Solving for variable 'l'.

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

Add '(-3ln)' to each side of the equation.
-1lnx + -1nL + (-3ln) + nxL = 3 + (3ln) + (-3ln)

Reorder the terms:
(-3ln) + -1lnx + -1nL + nxL = 3 + (3ln) + (-3ln)

Combine like terms: (3ln) + (-3ln) = 0
(-3ln) + -1lnx + -1nL + nxL = 3 + 0
(-3ln) + -1lnx + -1nL + nxL = 3

Add 'nL' to each side of the equation.
(-3ln) + -1lnx + -1nL + nL + nxL = 3 + nL

Combine like terms: -1nL + nL = 0
(-3ln) + -1lnx + 0 + nxL = 3 + nL
(-3ln) + -1lnx + nxL = 3 + nL

Add '-1nxL' to each side of the equation.
(-3ln) + -1lnx + nxL + -1nxL = 3 + nL + -1nxL

Combine like terms: nxL + -1nxL = 0
(-3ln) + -1lnx + 0 = 3 + nL + -1nxL
(-3ln) + -1lnx = 3 + nL + -1nxL

Reorder the terms:
-3 + (-3ln) + -1lnx + -1nL + nxL = 3 + nL + -1nxL + -3 + -1nL + nxL

Reorder the terms:
-3 + (-3ln) + -1lnx + -1nL + nxL = 3 + -3 + nL + -1nL + -1nxL + nxL

Combine like terms: 3 + -3 = 0
-3 + (-3ln) + -1lnx + -1nL + nxL = 0 + nL + -1nL + -1nxL + nxL
-3 + (-3ln) + -1lnx + -1nL + nxL = nL + -1nL + -1nxL + nxL

Combine like terms: nL + -1nL = 0
-3 + (-3ln) + -1lnx + -1nL + nxL = 0 + -1nxL + nxL
-3 + (-3ln) + -1lnx + -1nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-3 + (-3ln) + -1lnx + -1nL + nxL = 0

The solution to this equation could not be determined.

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