ln(x+4)+ln(x-1)=2ln(x)

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Solution for ln(x+4)+ln(x-1)=2ln(x) equation:


Simplifying
ln(x + 4) + ln(x + -1) = 2ln(x)

Reorder the terms:
ln(4 + x) + ln(x + -1) = 2ln(x)
(4 * ln + x * ln) + ln(x + -1) = 2ln(x)
(4ln + lnx) + ln(x + -1) = 2ln(x)

Reorder the terms:
4ln + lnx + ln(-1 + x) = 2ln(x)
4ln + lnx + (-1 * ln + x * ln) = 2ln(x)
4ln + lnx + (-1ln + lnx) = 2ln(x)

Reorder the terms:
4ln + -1ln + lnx + lnx = 2ln(x)

Combine like terms: 4ln + -1ln = 3ln
3ln + lnx + lnx = 2ln(x)

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

Multiply ln * x
3ln + 2lnx = 2lnx

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

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

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

Solving
3ln = 0

Solving for variable 'l'.

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

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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