ln(x+1)+ln(x+2)=ln(x+3)

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Solution for ln(x+1)+ln(x+2)=ln(x+3) equation:


Simplifying
ln(x + 1) + ln(x + 2) = ln(x + 3)

Reorder the terms:
ln(1 + x) + ln(x + 2) = ln(x + 3)
(1 * ln + x * ln) + ln(x + 2) = ln(x + 3)
(1ln + lnx) + ln(x + 2) = ln(x + 3)

Reorder the terms:
1ln + lnx + ln(2 + x) = ln(x + 3)
1ln + lnx + (2 * ln + x * ln) = ln(x + 3)
1ln + lnx + (2ln + lnx) = ln(x + 3)

Reorder the terms:
1ln + 2ln + lnx + lnx = ln(x + 3)

Combine like terms: 1ln + 2ln = 3ln
3ln + lnx + lnx = ln(x + 3)

Combine like terms: lnx + lnx = 2lnx
3ln + 2lnx = ln(x + 3)

Reorder the terms:
3ln + 2lnx = ln(3 + x)
3ln + 2lnx = (3 * ln + x * ln)
3ln + 2lnx = (3ln + lnx)

Add '-3ln' to each side of the equation.
3ln + -3ln + 2lnx = 3ln + -3ln + lnx

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

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

Solving
2lnx = lnx

Solving for variable 'l'.

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

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

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

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

Divide each side by '1'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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