7log(x-3)-5log(x-3)=2

Solution for 7log(x-3)-5log(x-3)=2 equation:

Simplifying
7log(x + -3) + -5log(x + -3) = 2

Reorder the terms:
7glo(-3 + x) + -5log(x + -3) = 2
(-3 * 7glo + x * 7glo) + -5log(x + -3) = 2
(-21glo + 7glox) + -5log(x + -3) = 2

Reorder the terms:
-21glo + 7glox + -5glo(-3 + x) = 2
-21glo + 7glox + (-3 * -5glo + x * -5glo) = 2
-21glo + 7glox + (15glo + -5glox) = 2

Reorder the terms:
-21glo + 15glo + 7glox + -5glox = 2

Combine like terms: -21glo + 15glo = -6glo
-6glo + 7glox + -5glox = 2

Combine like terms: 7glox + -5glox = 2glox
-6glo + 2glox = 2

Solving
-6glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -6glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -6glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3glo + glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -3glo + glox = 0

Solving
-1 + -3glo + glox = 0

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

Add '1' to each side of the equation.
-1 + -3glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -3glo + glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3glo + glox = 0 + 1
-3glo + glox = 0 + 1

Combine like terms: 0 + 1 = 1
-3glo + glox = 1

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.