Log(x-5)=log(x-2)+8

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Solution for Log(x-5)=log(x-2)+8 equation:


Simplifying
Log(x + -5) = log(x + -2) + 8

Reorder the terms:
goL(-5 + x) = log(x + -2) + 8
(-5 * goL + x * goL) = log(x + -2) + 8
(-5goL + goxL) = log(x + -2) + 8

Reorder the terms:
-5goL + goxL = glo(-2 + x) + 8
-5goL + goxL = (-2 * glo + x * glo) + 8
-5goL + goxL = (-2glo + glox) + 8

Reorder the terms:
-5goL + goxL = 8 + -2glo + glox

Solving
-5goL + goxL = 8 + -2glo + glox

Solving for variable 'g'.

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

Add '2glo' to each side of the equation.
-5goL + 2glo + goxL = 8 + -2glo + 2glo + glox

Reorder the terms:
2glo + -5goL + goxL = 8 + -2glo + 2glo + glox

Combine like terms: -2glo + 2glo = 0
2glo + -5goL + goxL = 8 + 0 + glox
2glo + -5goL + goxL = 8 + glox

Add '-1glox' to each side of the equation.
2glo + -5goL + -1glox + goxL = 8 + glox + -1glox

Reorder the terms:
2glo + -1glox + -5goL + goxL = 8 + glox + -1glox

Combine like terms: glox + -1glox = 0
2glo + -1glox + -5goL + goxL = 8 + 0
2glo + -1glox + -5goL + goxL = 8

Reorder the terms:
-8 + 2glo + -1glox + -5goL + goxL = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 2glo + -1glox + -5goL + goxL = 0

The solution to this equation could not be determined.

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