Ln(x-4)+ln(x-2)=1

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Solution for Ln(x-4)+ln(x-2)=1 equation: 


Simplifying
Ln(x + -4) + ln(x + -2) = 1

Reorder the terms:
nL(-4 + x) + ln(x + -2) = 1
(-4 * nL + x * nL) + ln(x + -2) = 1
(-4nL + nxL) + ln(x + -2) = 1

Reorder the terms:
-4nL + nxL + ln(-2 + x) = 1
-4nL + nxL + (-2 * ln + x * ln) = 1
-4nL + nxL + (-2ln + lnx) = 1

Reorder the terms:
-2ln + lnx + -4nL + nxL = 1

Solving
-2ln + lnx + -4nL + nxL = 1

Solving for variable 'l'.

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

Add '4nL' to each side of the equation.
-2ln + lnx + -4nL + 4nL + nxL = 1 + 4nL

Combine like terms: -4nL + 4nL = 0
-2ln + lnx + 0 + nxL = 1 + 4nL
-2ln + lnx + nxL = 1 + 4nL

Add '-1nxL' to each side of the equation.
-2ln + lnx + nxL + -1nxL = 1 + 4nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-2ln + lnx + 0 = 1 + 4nL + -1nxL
-2ln + lnx = 1 + 4nL + -1nxL

Reorder the terms:
-1 + -2ln + lnx + -4nL + nxL = 1 + 4nL + -1nxL + -1 + -4nL + nxL

Reorder the terms:
-1 + -2ln + lnx + -4nL + nxL = 1 + -1 + 4nL + -4nL + -1nxL + nxL

Combine like terms: 1 + -1 = 0
-1 + -2ln + lnx + -4nL + nxL = 0 + 4nL + -4nL + -1nxL + nxL
-1 + -2ln + lnx + -4nL + nxL = 4nL + -4nL + -1nxL + nxL

Combine like terms: 4nL + -4nL = 0
-1 + -2ln + lnx + -4nL + nxL = 0 + -1nxL + nxL
-1 + -2ln + lnx + -4nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-1 + -2ln + lnx + -4nL + nxL = 0

The solution to this equation could not be determined.

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