ln(5-x)+ln(3)=Ln(6)

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Solution for ln(5-x)+ln(3)=Ln(6) equation: 


Simplifying
ln(5 + -1x) + ln(3) = Ln(6)
(5 * ln + -1x * ln) + ln(3) = Ln(6)
(5ln + -1lnx) + ln(3) = Ln(6)

Reorder the terms for easier multiplication:
5ln + -1lnx + 3ln = Ln(6)

Reorder the terms:
5ln + 3ln + -1lnx = Ln(6)

Combine like terms: 5ln + 3ln = 8ln
8ln + -1lnx = Ln(6)

Reorder the terms for easier multiplication:
8ln + -1lnx = 6nL

Solving
8ln + -1lnx = 6nL

Solving for variable 'l'.

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

Combine like terms: 6nL + -6nL = 0
8ln + -1lnx + -6nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(8l + -1lx + -6L) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(8l + -1lx + -6L)' equal to zero and attempt to solve:

Simplifying
8l + -1lx + -6L = 0

Reorder the terms:
-6L + 8l + -1lx = 0

Solving
-6L + 8l + -1lx = 0

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

Add '6L' to each side of the equation.
-6L + 8l + 6L + -1lx = 0 + 6L

Reorder the terms:
-6L + 6L + 8l + -1lx = 0 + 6L

Combine like terms: -6L + 6L = 0
0 + 8l + -1lx = 0 + 6L
8l + -1lx = 0 + 6L
Remove the zero:
8l + -1lx = 6L

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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