Log(4x-1)=log(8-2x)

Solution for Log(4x-1)=log(8-2x) equation:

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

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

Solving
-1goL + 4goxL = 8glo + -2glox

Solving for variable 'g'.

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

Add '-8glo' to each side of the equation.
-1goL + -8glo + 4goxL = 8glo + -8glo + -2glox

Reorder the terms:
-8glo + -1goL + 4goxL = 8glo + -8glo + -2glox

Combine like terms: 8glo + -8glo = 0
-8glo + -1goL + 4goxL = 0 + -2glox
-8glo + -1goL + 4goxL = -2glox

Add '2glox' to each side of the equation.
-8glo + -1goL + 2glox + 4goxL = -2glox + 2glox

Reorder the terms:
-8glo + 2glox + -1goL + 4goxL = -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
-8glo + 2glox + -1goL + 4goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-8l + 2lx + -1L + 4xL) = 0

Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-8l + 2lx + -1L + 4xL)' equal to zero and attempt to solve:

Simplifying
-8l + 2lx + -1L + 4xL = 0

Reorder the terms:
-1L + -8l + 2lx + 4xL = 0

Solving
-1L + -8l + 2lx + 4xL = 0

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

Add 'L' to each side of the equation.
-1L + -8l + 2lx + L + 4xL = 0 + L

Reorder the terms:
-1L + L + -8l + 2lx + 4xL = 0 + L

Combine like terms: -1L + L = 0
0 + -8l + 2lx + 4xL = 0 + L
-8l + 2lx + 4xL = 0 + L
Remove the zero:
-8l + 2lx + 4xL = L

Add '8l' to each side of the equation.
-8l + 2lx + 8l + 4xL = L + 8l

Reorder the terms:
-8l + 8l + 2lx + 4xL = L + 8l

Combine like terms: -8l + 8l = 0
0 + 2lx + 4xL = L + 8l
2lx + 4xL = L + 8l

Add '-2lx' to each side of the equation.
2lx + -2lx + 4xL = L + 8l + -2lx

Combine like terms: 2lx + -2lx = 0
0 + 4xL = L + 8l + -2lx
4xL = L + 8l + -2lx

Add '-4xL' to each side of the equation.
4xL + -4xL = L + 8l + -2lx + -4xL

Combine like terms: 4xL + -4xL = 0
0 = L + 8l + -2lx + -4xL

Simplifying
0 = L + 8l + -2lx + -4xL

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.