lnx=1-ln(x+6)

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Solution for lnx=1-ln(x+6) equation:


Simplifying
lnx = 1 + -1ln(x + 6)

Reorder the terms:
lnx = 1 + -1ln(6 + x)
lnx = 1 + (6 * -1ln + x * -1ln)
lnx = 1 + (-6ln + -1lnx)

Solving
lnx = 1 + -6ln + -1lnx

Solving for variable 'l'.

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

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

Combine like terms: -6ln + 6ln = 0
6ln + lnx = 1 + 0 + -1lnx
6ln + lnx = 1 + -1lnx

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

Combine like terms: lnx + lnx = 2lnx
6ln + 2lnx = 1 + -1lnx + lnx

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

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

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

The solution to this equation could not be determined.

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