(ln(x-3))*(ln(x+2))=y

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


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

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

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

Multiply (-3ln + lnx) * (2ln + lnx)
(-3ln * (2ln + lnx) + lnx(2ln + lnx)) = y
((2ln * -3ln + lnx * -3ln) + lnx(2ln + lnx)) = y
((-6l2n2 + -3l2n2x) + lnx(2ln + lnx)) = y
(-6l2n2 + -3l2n2x + (2ln * lnx + lnx * lnx)) = y
(-6l2n2 + -3l2n2x + (2l2n2x + l2n2x2)) = y

Combine like terms: -3l2n2x + 2l2n2x = -1l2n2x
(-6l2n2 + -1l2n2x + l2n2x2) = y

Solving
-6l2n2 + -1l2n2x + l2n2x2 = y

Solving for variable 'l'.

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

Combine like terms: y + -1y = 0
-6l2n2 + -1l2n2x + l2n2x2 + -1y = 0

The solution to this equation could not be determined.

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