ln(1-x)+ln(x-2)=ln(30)

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Solution for ln(1-x)+ln(x-2)=ln(30) equation:


Simplifying
ln(1 + -1x) + ln(x + -2) = ln(30)
(1 * ln + -1x * ln) + ln(x + -2) = ln(30)
(1ln + -1lnx) + ln(x + -2) = ln(30)

Reorder the terms:
1ln + -1lnx + ln(-2 + x) = ln(30)
1ln + -1lnx + (-2 * ln + x * ln) = ln(30)
1ln + -1lnx + (-2ln + lnx) = ln(30)

Reorder the terms:
1ln + -2ln + -1lnx + lnx = ln(30)

Combine like terms: 1ln + -2ln = -1ln
-1ln + -1lnx + lnx = ln(30)

Combine like terms: -1lnx + lnx = 0
-1ln + 0 = ln(30)
-1ln = ln(30)

Reorder the terms for easier multiplication:
-1ln = 30ln

Solving
-1ln = 30ln

Solving for variable 'l'.

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

Add '-30ln' to each side of the equation.
-1ln + -30ln = 30ln + -30ln

Combine like terms: -1ln + -30ln = -31ln
-31ln = 30ln + -30ln

Combine like terms: 30ln + -30ln = 0
-31ln = 0

Divide each side by '-31'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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