6+log(2)*(x-5)=8

Solution for 6+log(2)*(x-5)=8 equation:

Simplifying
6 + log(2)(x + -5) = 8

Reorder the terms:
6 + glo * 2(-5 + x) = 8

Reorder the terms for easier multiplication:
6 + 2glo(-5 + x) = 8
6 + (-5 * 2glo + x * 2glo) = 8
6 + (-10glo + 2glox) = 8

Solving
6 + -10glo + 2glox = 8

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 + -10glo + -6 + 2glox = 8 + -6

Reorder the terms:
6 + -6 + -10glo + 2glox = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -10glo + 2glox = 8 + -6
-10glo + 2glox = 8 + -6

Combine like terms: 8 + -6 = 2
-10glo + 2glox = 2

Reorder the terms:
-2 + -10glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -10glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -5glo + glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -5glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -5glo + glox = 0

Solving
-1 + -5glo + 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 + -5glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -5glo + glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5glo + glox = 0 + 1
-5glo + glox = 0 + 1

Combine like terms: 0 + 1 = 1
-5glo + 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.