In(x+3)+lnx=1

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Solution for In(x+3)+lnx=1 equation: 


Simplifying
In(x + 3) + lnx = 1

Reorder the terms:
nI(3 + x) + lnx = 1
(3 * nI + x * nI) + lnx = 1
(3nI + nxI) + lnx = 1

Reorder the terms:
lnx + 3nI + nxI = 1

Solving
lnx + 3nI + nxI = 1

Solving for variable 'l'.

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

Add '-3nI' to each side of the equation.
lnx + 3nI + -3nI + nxI = 1 + -3nI

Combine like terms: 3nI + -3nI = 0
lnx + 0 + nxI = 1 + -3nI
lnx + nxI = 1 + -3nI

Add '-1nxI' to each side of the equation.
lnx + nxI + -1nxI = 1 + -3nI + -1nxI

Combine like terms: nxI + -1nxI = 0
lnx + 0 = 1 + -3nI + -1nxI
lnx = 1 + -3nI + -1nxI

Divide each side by 'nx'.
l = n-1x-1 + -3x-1I + -1I

Simplifying
l = n-1x-1 + -3x-1I + -1I

Reorder the terms:
l = -1I + n-1x-1 + -3x-1I

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