ln(x+2)=ln(x-7)

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Solution for ln(x+2)=ln(x-7) equation:


Simplifying
ln(x + 2) = ln(x + -7)

Reorder the terms:
ln(2 + x) = ln(x + -7)
(2 * ln + x * ln) = ln(x + -7)
(2ln + lnx) = ln(x + -7)

Reorder the terms:
2ln + lnx = ln(-7 + x)
2ln + lnx = (-7 * ln + x * ln)
2ln + lnx = (-7ln + lnx)

Add '-1lnx' to each side of the equation.
2ln + lnx + -1lnx = -7ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + 0 = -7ln + lnx + -1lnx
2ln = -7ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln = -7ln + 0
2ln = -7ln

Solving
2ln = -7ln

Solving for variable 'l'.

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

Add '7ln' to each side of the equation.
2ln + 7ln = -7ln + 7ln

Combine like terms: 2ln + 7ln = 9ln
9ln = -7ln + 7ln

Combine like terms: -7ln + 7ln = 0
9ln = 0

Divide each side by '9'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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