Ln(-8+3a)=ln(a+6)

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Solution for Ln(-8+3a)=ln(a+6) equation: 


Simplifying
Ln(-8 + 3a) = ln(a + 6)
(-8 * nL + 3a * nL) = ln(a + 6)

Reorder the terms:
(3anL + -8nL) = ln(a + 6)
(3anL + -8nL) = ln(a + 6)

Reorder the terms:
3anL + -8nL = ln(6 + a)
3anL + -8nL = (6 * ln + a * ln)

Reorder the terms:
3anL + -8nL = (aln + 6ln)
3anL + -8nL = (aln + 6ln)

Solving
3anL + -8nL = aln + 6ln

Solving for variable 'a'.

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

Add '-1aln' to each side of the equation.
3anL + -1aln + -8nL = aln + -1aln + 6ln

Reorder the terms:
-1aln + 3anL + -8nL = aln + -1aln + 6ln

Combine like terms: aln + -1aln = 0
-1aln + 3anL + -8nL = 0 + 6ln
-1aln + 3anL + -8nL = 6ln

Add '8nL' to each side of the equation.
-1aln + 3anL + -8nL + 8nL = 6ln + 8nL

Combine like terms: -8nL + 8nL = 0
-1aln + 3anL + 0 = 6ln + 8nL
-1aln + 3anL = 6ln + 8nL

Reorder the terms:
-1aln + 3anL + -6ln + -8nL = 6ln + -6ln + 8nL + -8nL

Combine like terms: 6ln + -6ln = 0
-1aln + 3anL + -6ln + -8nL = 0 + 8nL + -8nL
-1aln + 3anL + -6ln + -8nL = 8nL + -8nL

Combine like terms: 8nL + -8nL = 0
-1aln + 3anL + -6ln + -8nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1al + 3aL + -6l + -8L) = 0


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

Simplifying
n = 0

Solving
n = 0

Move all terms containing a 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 '(-1al + 3aL + -6l + -8L)' equal to zero and attempt to solve:

Simplifying
-1al + 3aL + -6l + -8L = 0

Reorder the terms:
-8L + 3aL + -1al + -6l = 0

Solving
-8L + 3aL + -1al + -6l = 0

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

Add '8L' to each side of the equation.
-8L + 3aL + -1al + 8L + -6l = 0 + 8L

Reorder the terms:
-8L + 8L + 3aL + -1al + -6l = 0 + 8L

Combine like terms: -8L + 8L = 0
0 + 3aL + -1al + -6l = 0 + 8L
3aL + -1al + -6l = 0 + 8L
Remove the zero:
3aL + -1al + -6l = 8L

Add '6l' to each side of the equation.
3aL + -1al + -6l + 6l = 8L + 6l

Combine like terms: -6l + 6l = 0
3aL + -1al + 0 = 8L + 6l
3aL + -1al = 8L + 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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