x-1log(3x+2)x-1logx=2

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


Simplifying
x + -1log(3x + 2) * x + -1logx = 2

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

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

Multiply glo * x
x + -1glox(2 + 3x) + -1logx = 2
x + (2 * -1glox + 3x * -1glox) + -1logx = 2
x + (-2glox + -3glox2) + -1logx = 2

Reorder the terms:
-2glox + -1glox + -3glox2 + x = 2

Combine like terms: -2glox + -1glox = -3glox
-3glox + -3glox2 + x = 2

Solving
-3glox + -3glox2 + x = 2

Solving for variable 'g'.

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

Add '-1x' to each side of the equation.
-3glox + -3glox2 + x + -1x = 2 + -1x

Combine like terms: x + -1x = 0
-3glox + -3glox2 + 0 = 2 + -1x
-3glox + -3glox2 = 2 + -1x

Reorder the terms:
-2 + -3glox + -3glox2 + x = 2 + -1x + -2 + x

Reorder the terms:
-2 + -3glox + -3glox2 + x = 2 + -2 + -1x + x

Combine like terms: 2 + -2 = 0
-2 + -3glox + -3glox2 + x = 0 + -1x + x
-2 + -3glox + -3glox2 + x = -1x + x

Combine like terms: -1x + x = 0
-2 + -3glox + -3glox2 + x = 0

The solution to this equation could not be determined.

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