2+log(x-7)=log(22x)

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Solution for 2+log(x-7)=log(22x) equation:


Simplifying
2 + log(x + -7) = log(22x)

Reorder the terms:
2 + glo(-7 + x) = log(22x)
2 + (-7 * glo + x * glo) = log(22x)
2 + (-7glo + glox) = log(22x)

Remove parenthesis around (22x)
2 + -7glo + glox = glo * 22x

Reorder the terms for easier multiplication:
2 + -7glo + glox = 22glo * x

Multiply glo * x
2 + -7glo + glox = 22glox

Solving
2 + -7glo + glox = 22glox

Solving for variable 'g'.

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

Add '-22glox' to each side of the equation.
2 + -7glo + glox + -22glox = 22glox + -22glox

Combine like terms: glox + -22glox = -21glox
2 + -7glo + -21glox = 22glox + -22glox

Combine like terms: 22glox + -22glox = 0
2 + -7glo + -21glox = 0

Add '-2' to each side of the equation.
2 + -7glo + -2 + -21glox = 0 + -2

Reorder the terms:
2 + -2 + -7glo + -21glox = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7glo + -21glox = 0 + -2
-7glo + -21glox = 0 + -2

Combine like terms: 0 + -2 = -2
-7glo + -21glox = -2

Reorder the terms:
2 + -7glo + -21glox = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -7glo + -21glox = 0

The solution to this equation could not be determined.

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