ln(x+2)=10-ln(x+1)

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Solution for ln(x+2)=10-ln(x+1) equation:


Simplifying
ln(x + 2) = 10 + -1ln(x + 1)

Reorder the terms:
ln(2 + x) = 10 + -1ln(x + 1)
(2 * ln + x * ln) = 10 + -1ln(x + 1)
(2ln + lnx) = 10 + -1ln(x + 1)

Reorder the terms:
2ln + lnx = 10 + -1ln(1 + x)
2ln + lnx = 10 + (1 * -1ln + x * -1ln)
2ln + lnx = 10 + (-1ln + -1lnx)

Solving
2ln + lnx = 10 + -1ln + -1lnx

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
2ln + ln + lnx = 10 + -1ln + ln + -1lnx

Combine like terms: 2ln + ln = 3ln
3ln + lnx = 10 + -1ln + ln + -1lnx

Combine like terms: -1ln + ln = 0
3ln + lnx = 10 + 0 + -1lnx
3ln + lnx = 10 + -1lnx

Add 'lnx' to each side of the equation.
3ln + lnx + lnx = 10 + -1lnx + lnx

Combine like terms: lnx + lnx = 2lnx
3ln + 2lnx = 10 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
3ln + 2lnx = 10 + 0
3ln + 2lnx = 10

Reorder the terms:
-10 + 3ln + 2lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 3ln + 2lnx = 0

The solution to this equation could not be determined.

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