log(x)-y=log(3x-1)

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


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

Multiply glo * x
glox + -1y = log(3x + -1)

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

Solving
glox + -1y = -1glo + 3glox

Solving for variable 'g'.

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

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

Reorder the terms:
glo + glox + -1y = -1glo + glo + 3glox

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

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

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

Combine like terms: 3glox + -3glox = 0
glo + -2glox + -1y = 0

Add 'y' to each side of the equation.
glo + -2glox + -1y + y = 0 + y

Combine like terms: -1y + y = 0
glo + -2glox + 0 = 0 + y
glo + -2glox = 0 + y
Remove the zero:
glo + -2glox = y

Combine like terms: y + -1y = 0
glo + -2glox + -1y = 0

The solution to this equation could not be determined.

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