log(3)(6x+4)=log(3)(6x+7)

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Solution for log(3)(6x+4)=log(3)(6x+7) equation:


Simplifying
log(3)(6x + 4) = log(3)(6x + 7)

Reorder the terms:
glo * 3(4 + 6x) = log(3)(6x + 7)

Reorder the terms for easier multiplication:
3glo(4 + 6x) = log(3)(6x + 7)
(4 * 3glo + 6x * 3glo) = log(3)(6x + 7)
(12glo + 18glox) = log(3)(6x + 7)

Reorder the terms:
12glo + 18glox = glo * 3(7 + 6x)

Reorder the terms for easier multiplication:
12glo + 18glox = 3glo(7 + 6x)
12glo + 18glox = (7 * 3glo + 6x * 3glo)
12glo + 18glox = (21glo + 18glox)

Add '-18glox' to each side of the equation.
12glo + 18glox + -18glox = 21glo + 18glox + -18glox

Combine like terms: 18glox + -18glox = 0
12glo + 0 = 21glo + 18glox + -18glox
12glo = 21glo + 18glox + -18glox

Combine like terms: 18glox + -18glox = 0
12glo = 21glo + 0
12glo = 21glo

Solving
12glo = 21glo

Solving for variable 'g'.

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

Add '-21glo' to each side of the equation.
12glo + -21glo = 21glo + -21glo

Combine like terms: 12glo + -21glo = -9glo
-9glo = 21glo + -21glo

Combine like terms: 21glo + -21glo = 0
-9glo = 0

Divide each side by '-9'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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