ln(x+3)+ln(x-4)-ln(x)=3

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Solution for ln(x+3)+ln(x-4)-ln(x)=3 equation:


Simplifying
ln(x + 3) + ln(x + -4) + -1ln(x) = 3

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

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

Multiply ln * x
3ln + lnx + -4ln + lnx + -1lnx = 3

Reorder the terms:
3ln + -4ln + lnx + lnx + -1lnx = 3

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

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

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

Solving
-1ln + 1lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + -1ln + 1lnx = 3 + -3

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

The solution to this equation could not be determined.

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