log(7x-1)+log(x+6)=1

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Solution for log(7x-1)+log(x+6)=1 equation:


Simplifying
log(7x + -1) + log(x + 6) = 1

Reorder the terms:
glo(-1 + 7x) + log(x + 6) = 1
(-1 * glo + 7x * glo) + log(x + 6) = 1
(-1glo + 7glox) + log(x + 6) = 1

Reorder the terms:
-1glo + 7glox + glo(6 + x) = 1
-1glo + 7glox + (6 * glo + x * glo) = 1
-1glo + 7glox + (6glo + glox) = 1

Reorder the terms:
-1glo + 6glo + 7glox + glox = 1

Combine like terms: -1glo + 6glo = 5glo
5glo + 7glox + glox = 1

Combine like terms: 7glox + glox = 8glox
5glo + 8glox = 1

Solving
5glo + 8glox = 1

Solving for variable 'g'.

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

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

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

The solution to this equation could not be determined.

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