11+log[4](x+1)=15

Solution for 11+log[4](x+1)=15 equation:

Simplifying
11 + log[4](x + 1) = 15

Reorder the terms:
11 + glo * 4(1 + x) = 15

Reorder the terms for easier multiplication:
11 + 4glo(1 + x) = 15
11 + (1 * 4glo + x * 4glo) = 15
11 + (4glo + 4glox) = 15

Solving
11 + 4glo + 4glox = 15

Solving for variable 'g'.

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

Add '-11' to each side of the equation.
11 + 4glo + -11 + 4glox = 15 + -11

Reorder the terms:
11 + -11 + 4glo + 4glox = 15 + -11

Combine like terms: 11 + -11 = 0
0 + 4glo + 4glox = 15 + -11
4glo + 4glox = 15 + -11

Combine like terms: 15 + -11 = 4
4glo + 4glox = 4

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + glo + glox) = 0

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

Simplifying
-1 + glo + glox = 0

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

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

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

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