ln^3-ln(5-x)=lnx

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Solution for ln^3-ln(5-x)=lnx equation: 


Simplifying
ln3 + -1ln(5 + -1x) = lnx
ln3 + (5 * -1ln + -1x * -1ln) = lnx
ln3 + (-5ln + 1lnx) = lnx

Reorder the terms:
-5ln + 1lnx + ln3 = lnx

Solving
-5ln + 1lnx + ln3 = lnx

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.
-5ln + 1lnx + -1lnx + ln3 = lnx + -1lnx

Combine like terms: 1lnx + -1lnx = 0
-5ln + 0 + ln3 = lnx + -1lnx
-5ln + ln3 = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-5ln + ln3 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-5 + n2) = 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 '(-5 + n2)' equal to zero and attempt to solve:

Simplifying
-5 + n2 = 0

Solving
-5 + n2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + n2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + n2 = 0 + 5
n2 = 0 + 5

Combine like terms: 0 + 5 = 5
n2 = 5

Add '-1n2' to each side of the equation.
n2 + -1n2 = 5 + -1n2

Combine like terms: n2 + -1n2 = 0
0 = 5 + -1n2

Simplifying
0 = 5 + -1n2

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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