ln(x+1)+ln(x-10)=0

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Solution for ln(x+1)+ln(x-10)=0 equation:


Simplifying
ln(x + 1) + ln(x + -10) = 0

Reorder the terms:
ln(1 + x) + ln(x + -10) = 0
(1 * ln + x * ln) + ln(x + -10) = 0
(1ln + lnx) + ln(x + -10) = 0

Reorder the terms:
1ln + lnx + ln(-10 + x) = 0
1ln + lnx + (-10 * ln + x * ln) = 0
1ln + lnx + (-10ln + lnx) = 0

Reorder the terms:
1ln + -10ln + lnx + lnx = 0

Combine like terms: 1ln + -10ln = -9ln
-9ln + lnx + lnx = 0

Combine like terms: lnx + lnx = 2lnx
-9ln + 2lnx = 0

Solving
-9ln + 2lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-9 + 2x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Add '-2x' to each side of the equation. 2x + -2x = 9 + -2x Combine like terms: 2x + -2x = 0 0 = 9 + -2x Simplifying 0 = 9 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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