1+logx=log(9x+1)-logx

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Solution for 1+logx=log(9x+1)-logx equation:


Simplifying
1 + logx = log(9x + 1) + -1logx

Reorder the terms:
1 + glox = glo(1 + 9x) + -1logx
1 + glox = (1 * glo + 9x * glo) + -1logx
1 + glox = (1glo + 9glox) + -1logx

Combine like terms: 9glox + -1glox = 8glox
1 + glox = 1glo + 8glox

Solving
1 + glox = 1glo + 8glox

Solving for variable 'g'.

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

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

Combine like terms: 1glo + -1glo = 0
1 + -1glo + glox = 0 + 8glox
1 + -1glo + glox = 8glox

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

Combine like terms: glox + -8glox = -7glox
1 + -1glo + -7glox = 8glox + -8glox

Combine like terms: 8glox + -8glox = 0
1 + -1glo + -7glox = 0

Add '-1' to each side of the equation.
1 + -1glo + -1 + -7glox = 0 + -1

Reorder the terms:
1 + -1 + -1glo + -7glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1glo + -7glox = 0 + -1
-1glo + -7glox = 0 + -1

Combine like terms: 0 + -1 = -1
-1glo + -7glox = -1

Reorder the terms:
1 + -1glo + -7glox = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -1glo + -7glox = 0

The solution to this equation could not be determined.

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