2log(2)(3x-7)-1=3

Solution for 2log(2)(3x-7)-1=3 equation:

Simplifying
2log(2)(3x + -7) + -1 = 3

Reorder the terms:
2glo * 2(-7 + 3x) + -1 = 3

Reorder the terms for easier multiplication:
2 * 2glo(-7 + 3x) + -1 = 3

Multiply 2 * 2
4glo(-7 + 3x) + -1 = 3
(-7 * 4glo + 3x * 4glo) + -1 = 3
(-28glo + 12glox) + -1 = 3

Reorder the terms:
-1 + -28glo + 12glox = 3

Solving
-1 + -28glo + 12glox = 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 + -28glo + 1 + 12glox = 3 + 1

Reorder the terms:
-1 + 1 + -28glo + 12glox = 3 + 1

Combine like terms: -1 + 1 = 0
0 + -28glo + 12glox = 3 + 1
-28glo + 12glox = 3 + 1

Combine like terms: 3 + 1 = 4
-28glo + 12glox = 4

Reorder the terms:
-4 + -28glo + 12glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -28glo + 12glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -7glo + 3glox) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -7glo + 3glox)' equal to zero and attempt to solve:

Simplifying
-1 + -7glo + 3glox = 0

Solving
-1 + -7glo + 3glox = 0

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

Add '1' to each side of the equation.
-1 + -7glo + 1 + 3glox = 0 + 1

Reorder the terms:
-1 + 1 + -7glo + 3glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7glo + 3glox = 0 + 1
-7glo + 3glox = 0 + 1

Combine like terms: 0 + 1 = 1
-7glo + 3glox = 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.