log(x*2+36)=2

Solution for log(x*2+36)=2 equation:

Simplifying
log(x * 2 + 36) = 2

Reorder the terms for easier multiplication:
glo(2x + 36) = 2

Reorder the terms:
glo(36 + 2x) = 2
(36 * glo + 2x * glo) = 2
(36glo + 2glox) = 2

Solving
36glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 36glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 36glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 18glo + glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 18glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + 18glo + glox = 0

Solving
-1 + 18glo + 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 + 18glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + 18glo + glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 18glo + glox = 0 + 1
18glo + glox = 0 + 1

Combine like terms: 0 + 1 = 1
18glo + 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.