6+4*log(x-3)=38

Solution for 6+4*log(x-3)=38 equation:

Simplifying
6 + 4log(x + -3) = 38

Reorder the terms:
6 + 4glo(-3 + x) = 38
6 + (-3 * 4glo + x * 4glo) = 38
6 + (-12glo + 4glox) = 38

Solving
6 + -12glo + 4glox = 38

Solving for variable 'g'.

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

Add '-6' to each side of the equation.
6 + -12glo + -6 + 4glox = 38 + -6

Reorder the terms:
6 + -6 + -12glo + 4glox = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -12glo + 4glox = 38 + -6
-12glo + 4glox = 38 + -6

Combine like terms: 38 + -6 = 32
-12glo + 4glox = 32

Reorder the terms:
-32 + -12glo + 4glox = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + -12glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -3glo + glox) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-8 + -3glo + glox)' equal to zero and attempt to solve:

Simplifying
-8 + -3glo + glox = 0

Solving
-8 + -3glo + glox = 0

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

Add '8' to each side of the equation.
-8 + -3glo + 8 + glox = 0 + 8

Reorder the terms:
-8 + 8 + -3glo + glox = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3glo + glox = 0 + 8
-3glo + glox = 0 + 8

Combine like terms: 0 + 8 = 8
-3glo + glox = 8

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.