log(2)(4x-8)-log(2)(x-5)=4

Solution for log(2)(4x-8)-log(2)(x-5)=4 equation:

Simplifying
log(2)(4x + -8) + -1log(2)(x + -5) = 4

Reorder the terms:
glo * 2(-8 + 4x) + -1log(2)(x + -5) = 4

Reorder the terms for easier multiplication:
2glo(-8 + 4x) + -1log(2)(x + -5) = 4
(-8 * 2glo + 4x * 2glo) + -1log(2)(x + -5) = 4
(-16glo + 8glox) + -1log(2)(x + -5) = 4

Reorder the terms:
-16glo + 8glox + -1glo * 2(-5 + x) = 4

Reorder the terms for easier multiplication:
-16glo + 8glox + -1 * 2glo(-5 + x) = 4

Multiply -1 * 2
-16glo + 8glox + -2glo(-5 + x) = 4
-16glo + 8glox + (-5 * -2glo + x * -2glo) = 4
-16glo + 8glox + (10glo + -2glox) = 4

Reorder the terms:
-16glo + 10glo + 8glox + -2glox = 4

Combine like terms: -16glo + 10glo = -6glo
-6glo + 8glox + -2glox = 4

Combine like terms: 8glox + -2glox = 6glox
-6glo + 6glox = 4

Solving
-6glo + 6glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -6glo + 6glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -6glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -3glo + 3glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-2 + -3glo + 3glox)' equal to zero and attempt to solve:

Simplifying
-2 + -3glo + 3glox = 0

Solving
-2 + -3glo + 3glox = 0

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

Add '2' to each side of the equation.
-2 + -3glo + 2 + 3glox = 0 + 2

Reorder the terms:
-2 + 2 + -3glo + 3glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3glo + 3glox = 0 + 2
-3glo + 3glox = 0 + 2

Combine like terms: 0 + 2 = 2
-3glo + 3glox = 2

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.