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

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


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

Reorder the terms for easier multiplication:
7glo * x + log(7)(x + 6) = 1

Multiply glo * x
7glox + log(7)(x + 6) = 1

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

Reorder the terms for easier multiplication:
7glox + 7glo(6 + x) = 1
7glox + (6 * 7glo + x * 7glo) = 1
7glox + (42glo + 7glox) = 1

Reorder the terms:
42glo + 7glox + 7glox = 1

Combine like terms: 7glox + 7glox = 14glox
42glo + 14glox = 1

Solving
42glo + 14glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 42glo + 14glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 42glo + 14glox = 0

The solution to this equation could not be determined.

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