log(3)(4x-1)=-log(3)(x-4)+4

Solution for log(3)(4x-1)=-log(3)(x-4)+4 equation:

Simplifying
log(3)(4x + -1) = -1log(3)(x + -4) + 4

Reorder the terms:
glo * 3(-1 + 4x) = -1log(3)(x + -4) + 4

Reorder the terms for easier multiplication:
3glo(-1 + 4x) = -1log(3)(x + -4) + 4
(-1 * 3glo + 4x * 3glo) = -1log(3)(x + -4) + 4
(-3glo + 12glox) = -1log(3)(x + -4) + 4

Reorder the terms:
-3glo + 12glox = -1glo * 3(-4 + x) + 4

Reorder the terms for easier multiplication:
-3glo + 12glox = -1 * 3glo(-4 + x) + 4

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

Reorder the terms:
-3glo + 12glox = 4 + 12glo + -3glox

Solving
-3glo + 12glox = 4 + 12glo + -3glox

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
-3glo + -12glo + 12glox = 4 + 12glo + -12glo + -3glox

Combine like terms: -3glo + -12glo = -15glo
-15glo + 12glox = 4 + 12glo + -12glo + -3glox

Combine like terms: 12glo + -12glo = 0
-15glo + 12glox = 4 + 0 + -3glox
-15glo + 12glox = 4 + -3glox

Add '3glox' to each side of the equation.
-15glo + 12glox + 3glox = 4 + -3glox + 3glox

Combine like terms: 12glox + 3glox = 15glox
-15glo + 15glox = 4 + -3glox + 3glox

Combine like terms: -3glox + 3glox = 0
-15glo + 15glox = 4 + 0
-15glo + 15glox = 4

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

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

The solution to this equation could not be determined.