Ln(x+36)-ln(2x+6)=1

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Solution for Ln(x+36)-ln(2x+6)=1 equation:


Simplifying
Ln(x + 36) + -1ln(2x + 6) = 1

Reorder the terms:
nL(36 + x) + -1ln(2x + 6) = 1
(36 * nL + x * nL) + -1ln(2x + 6) = 1
(36nL + nxL) + -1ln(2x + 6) = 1

Reorder the terms:
36nL + nxL + -1ln(6 + 2x) = 1
36nL + nxL + (6 * -1ln + 2x * -1ln) = 1
36nL + nxL + (-6ln + -2lnx) = 1

Reorder the terms:
-6ln + -2lnx + 36nL + nxL = 1

Solving
-6ln + -2lnx + 36nL + nxL = 1

Solving for variable 'l'.

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

Add '-36nL' to each side of the equation.
-6ln + -2lnx + 36nL + -36nL + nxL = 1 + -36nL

Combine like terms: 36nL + -36nL = 0
-6ln + -2lnx + 0 + nxL = 1 + -36nL
-6ln + -2lnx + nxL = 1 + -36nL

Add '-1nxL' to each side of the equation.
-6ln + -2lnx + nxL + -1nxL = 1 + -36nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-6ln + -2lnx + 0 = 1 + -36nL + -1nxL
-6ln + -2lnx = 1 + -36nL + -1nxL

Reorder the terms:
-1 + -6ln + -2lnx + 36nL + nxL = 1 + -36nL + -1nxL + -1 + 36nL + nxL

Reorder the terms:
-1 + -6ln + -2lnx + 36nL + nxL = 1 + -1 + -36nL + 36nL + -1nxL + nxL

Combine like terms: 1 + -1 = 0
-1 + -6ln + -2lnx + 36nL + nxL = 0 + -36nL + 36nL + -1nxL + nxL
-1 + -6ln + -2lnx + 36nL + nxL = -36nL + 36nL + -1nxL + nxL

Combine like terms: -36nL + 36nL = 0
-1 + -6ln + -2lnx + 36nL + nxL = 0 + -1nxL + nxL
-1 + -6ln + -2lnx + 36nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-1 + -6ln + -2lnx + 36nL + nxL = 0

The solution to this equation could not be determined.

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