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

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


Simplifying
ln(3 + -1x) + ln(x + 1) = ln(3) + ln(x + 1)
(3 * ln + -1x * ln) + ln(x + 1) = ln(3) + ln(x + 1)
(3ln + -1lnx) + ln(x + 1) = ln(3) + ln(x + 1)

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

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

Combine like terms: 3ln + 1ln = 4ln
4ln + -1lnx + lnx = ln(3) + ln(x + 1)

Combine like terms: -1lnx + lnx = 0
4ln + 0 = ln(3) + ln(x + 1)
4ln = ln(3) + ln(x + 1)

Reorder the terms for easier multiplication:
4ln = 3ln + ln(x + 1)

Reorder the terms:
4ln = 3ln + ln(1 + x)
4ln = 3ln + (1 * ln + x * ln)
4ln = 3ln + (1ln + lnx)

Combine like terms: 3ln + 1ln = 4ln
4ln = 4ln + lnx

Add '-4ln' to each side of the equation.
4ln + -4ln = 4ln + -4ln + lnx

Combine like terms: 4ln + -4ln = 0
0 = 4ln + -4ln + lnx

Combine like terms: 4ln + -4ln = 0
0 = 0 + lnx
0 = lnx

Solving
0 = 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.
0 + -1lnx = lnx + -1lnx
Remove the zero:
-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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