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

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


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

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

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

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

Solving
1glo + 7glox = 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.
1glo + 2glo + 7glox = 1 + -2glo + 2glo + glox

Combine like terms: 1glo + 2glo = 3glo
3glo + 7glox = 1 + -2glo + 2glo + glox

Combine like terms: -2glo + 2glo = 0
3glo + 7glox = 1 + 0 + glox
3glo + 7glox = 1 + glox

Add '-1glox' to each side of the equation.
3glo + 7glox + -1glox = 1 + glox + -1glox

Combine like terms: 7glox + -1glox = 6glox
3glo + 6glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
3glo + 6glox = 1 + 0
3glo + 6glox = 1

Reorder the terms:
-1 + 3glo + 6glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 3glo + 6glox = 0

The solution to this equation could not be determined.

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