2log(11x-12)+1=3

Solution for 2log(11x-12)+1=3 equation:

Simplifying
2log(11x + -12) + 1 = 3

Reorder the terms:
2glo(-12 + 11x) + 1 = 3
(-12 * 2glo + 11x * 2glo) + 1 = 3
(-24glo + 22glox) + 1 = 3

Reorder the terms:
1 + -24glo + 22glox = 3

Solving
1 + -24glo + 22glox = 3

Solving for variable 'g'.

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

Add '-1' to each side of the equation.
1 + -24glo + -1 + 22glox = 3 + -1

Reorder the terms:
1 + -1 + -24glo + 22glox = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -24glo + 22glox = 3 + -1
-24glo + 22glox = 3 + -1

Combine like terms: 3 + -1 = 2
-24glo + 22glox = 2

Reorder the terms:
-2 + -24glo + 22glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -24glo + 22glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -12glo + 11glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -12glo + 11glox)' equal to zero and attempt to solve:

Simplifying
-1 + -12glo + 11glox = 0

Solving
-1 + -12glo + 11glox = 0

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

Add '1' to each side of the equation.
-1 + -12glo + 1 + 11glox = 0 + 1

Reorder the terms:
-1 + 1 + -12glo + 11glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -12glo + 11glox = 0 + 1
-12glo + 11glox = 0 + 1

Combine like terms: 0 + 1 = 1
-12glo + 11glox = 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.