log(3x-13)=2-logx

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Solution for log(3x-13)=2-logx equation:


Simplifying
log(3x + -13) = 2 + -1logx

Reorder the terms:
glo(-13 + 3x) = 2 + -1logx
(-13 * glo + 3x * glo) = 2 + -1logx
(-13glo + 3glox) = 2 + -1logx

Solving
-13glo + 3glox = 2 + -1glox

Solving for variable 'g'.

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

Add 'glox' to each side of the equation.
-13glo + 3glox + glox = 2 + -1glox + glox

Combine like terms: 3glox + glox = 4glox
-13glo + 4glox = 2 + -1glox + glox

Combine like terms: -1glox + glox = 0
-13glo + 4glox = 2 + 0
-13glo + 4glox = 2

Reorder the terms:
-2 + -13glo + 4glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -13glo + 4glox = 0

The solution to this equation could not be determined.

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