log(13x+8)-logx=log(x+8)

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Solution for log(13x+8)-logx=log(x+8) equation:


Simplifying
log(13x + 8) + -1logx = log(x + 8)

Reorder the terms:
glo(8 + 13x) + -1logx = log(x + 8)
(8 * glo + 13x * glo) + -1logx = log(x + 8)
(8glo + 13glox) + -1logx = log(x + 8)

Combine like terms: 13glox + -1glox = 12glox
8glo + 12glox = log(x + 8)

Reorder the terms:
8glo + 12glox = glo(8 + x)
8glo + 12glox = (8 * glo + x * glo)
8glo + 12glox = (8glo + glox)

Add '-8glo' to each side of the equation.
8glo + -8glo + 12glox = 8glo + -8glo + glox

Combine like terms: 8glo + -8glo = 0
0 + 12glox = 8glo + -8glo + glox
12glox = 8glo + -8glo + glox

Combine like terms: 8glo + -8glo = 0
12glox = 0 + glox
12glox = glox

Solving
12glox = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
12glox + -1glox = glox + -1glox

Combine like terms: 12glox + -1glox = 11glox
11glox = glox + -1glox

Combine like terms: glox + -1glox = 0
11glox = 0

Divide each side by '11'.
glox = 0

Simplifying
glox = 0

The solution to this equation could not be determined.

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