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

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


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

Reorder the terms:
ln(1 + y) + ln(y + -1) = 2x + ln(x)
(1 * ln + y * ln) + ln(y + -1) = 2x + ln(x)
(1ln + lny) + ln(y + -1) = 2x + ln(x)

Reorder the terms:
1ln + lny + ln(-1 + y) = 2x + ln(x)
1ln + lny + (-1 * ln + y * ln) = 2x + ln(x)
1ln + lny + (-1ln + lny) = 2x + ln(x)

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

Combine like terms: 1ln + -1ln = 0
0 + lny + lny = 2x + ln(x)
lny + lny = 2x + ln(x)

Combine like terms: lny + lny = 2lny
2lny = 2x + ln(x)

Multiply ln * x
2lny = 2x + lnx

Reorder the terms:
2lny = lnx + 2x

Solving
2lny = lnx + 2x

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.
-1lnx + 2lny = lnx + -1lnx + 2x

Combine like terms: lnx + -1lnx = 0
-1lnx + 2lny = 0 + 2x
-1lnx + 2lny = 2x

Combine like terms: 2x + -2x = 0
-1lnx + 2lny + -2x = 0

The solution to this equation could not be determined.

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