ln(x+9)+ln(x-3)=2ln(x)

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Solution for ln(x+9)+ln(x-3)=2ln(x) equation:


Simplifying
ln(x + 9) + ln(x + -3) = 2ln(x)

Reorder the terms:
ln(9 + x) + ln(x + -3) = 2ln(x)
(9 * ln + x * ln) + ln(x + -3) = 2ln(x)
(9ln + lnx) + ln(x + -3) = 2ln(x)

Reorder the terms:
9ln + lnx + ln(-3 + x) = 2ln(x)
9ln + lnx + (-3 * ln + x * ln) = 2ln(x)
9ln + lnx + (-3ln + lnx) = 2ln(x)

Reorder the terms:
9ln + -3ln + lnx + lnx = 2ln(x)

Combine like terms: 9ln + -3ln = 6ln
6ln + lnx + lnx = 2ln(x)

Combine like terms: lnx + lnx = 2lnx
6ln + 2lnx = 2ln(x)

Multiply ln * x
6ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
6ln + 2lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6ln + 0 = 2lnx + -2lnx
6ln = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6ln = 0

Solving
6ln = 0

Solving for variable 'l'.

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

Divide each side by '6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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