Ln(2x-6)+lnx=36

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


Simplifying
Ln(2x + -6) + lnx = 36

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

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

Solving
lnx + -6nL + 2nxL = 36

Solving for variable 'l'.

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

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

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

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

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

Divide each side by 'nx'.
l = 36n-1x-1 + 6x-1L + -2L

Simplifying
l = 36n-1x-1 + 6x-1L + -2L

Reorder the terms:
l = -2L + 36n-1x-1 + 6x-1L

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