Log(7x-11)=log(x-2)+1

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Solution for Log(7x-11)=log(x-2)+1 equation:


Simplifying
Log(7x + -11) = log(x + -2) + 1

Reorder the terms:
goL(-11 + 7x) = log(x + -2) + 1
(-11 * goL + 7x * goL) = log(x + -2) + 1
(-11goL + 7goxL) = log(x + -2) + 1

Reorder the terms:
-11goL + 7goxL = glo(-2 + x) + 1
-11goL + 7goxL = (-2 * glo + x * glo) + 1
-11goL + 7goxL = (-2glo + glox) + 1

Reorder the terms:
-11goL + 7goxL = 1 + -2glo + glox

Solving
-11goL + 7goxL = 1 + -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.
-11goL + 2glo + 7goxL = 1 + -2glo + 2glo + glox

Reorder the terms:
2glo + -11goL + 7goxL = 1 + -2glo + 2glo + glox

Combine like terms: -2glo + 2glo = 0
2glo + -11goL + 7goxL = 1 + 0 + glox
2glo + -11goL + 7goxL = 1 + glox

Add '-1glox' to each side of the equation.
2glo + -11goL + -1glox + 7goxL = 1 + glox + -1glox

Reorder the terms:
2glo + -1glox + -11goL + 7goxL = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
2glo + -1glox + -11goL + 7goxL = 1 + 0
2glo + -1glox + -11goL + 7goxL = 1

Reorder the terms:
-1 + 2glo + -1glox + -11goL + 7goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 2glo + -1glox + -11goL + 7goxL = 0

The solution to this equation could not be determined.

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