5lna+3lnb-4lnab=0

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Solution for 5lna+3lnb-4lnab=0 equation: 


Simplifying
5lna + 3lnb + -4lnab = 0

Reorder the terms:
-4abln + 5aln + 3bln = 0

Solving
-4abln + 5aln + 3bln = 0

Solving for variable 'a'.

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

Add '-3bln' to each side of the equation.
-4abln + 5aln + 3bln + -3bln = 0 + -3bln

Combine like terms: 3bln + -3bln = 0
-4abln + 5aln + 0 = 0 + -3bln
-4abln + 5aln = 0 + -3bln
Remove the zero:
-4abln + 5aln = -3bln

Combine like terms: -3bln + 3bln = 0
-4abln + 5aln + 3bln = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4ab + 5a + 3b) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

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

Simplifying
0 = -1ln

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 '(-4ab + 5a + 3b)' equal to zero and attempt to solve:

Simplifying
-4ab + 5a + 3b = 0

Reorder the terms:
5a + -4ab + 3b = 0

Solving
5a + -4ab + 3b = 0

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

Add '-3b' to each side of the equation.
5a + -4ab + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
5a + -4ab + 0 = 0 + -3b
5a + -4ab = 0 + -3b
Remove the zero:
5a + -4ab = -3b

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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