log(7)2+log(7)x=log(7)*(x+6)

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Solution for log(7)2+log(7)x=log(7)*(x+6) equation:


Simplifying
log(7) * 2 + log(7) * x = log(7)(x + 6)

Reorder the terms for easier multiplication:
7 * 2glo + log(7) * x = log(7)(x + 6)

Multiply 7 * 2
14glo + log(7) * x = log(7)(x + 6)

Reorder the terms for easier multiplication:
14glo + 7glo * x = log(7)(x + 6)

Multiply glo * x
14glo + 7glox = log(7)(x + 6)

Reorder the terms:
14glo + 7glox = glo * 7(6 + x)

Reorder the terms for easier multiplication:
14glo + 7glox = 7glo(6 + x)
14glo + 7glox = (6 * 7glo + x * 7glo)
14glo + 7glox = (42glo + 7glox)

Add '-7glox' to each side of the equation.
14glo + 7glox + -7glox = 42glo + 7glox + -7glox

Combine like terms: 7glox + -7glox = 0
14glo + 0 = 42glo + 7glox + -7glox
14glo = 42glo + 7glox + -7glox

Combine like terms: 7glox + -7glox = 0
14glo = 42glo + 0
14glo = 42glo

Solving
14glo = 42glo

Solving for variable 'g'.

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

Add '-42glo' to each side of the equation.
14glo + -42glo = 42glo + -42glo

Combine like terms: 14glo + -42glo = -28glo
-28glo = 42glo + -42glo

Combine like terms: 42glo + -42glo = 0
-28glo = 0

Divide each side by '-28'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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