2logx-2=log(x-25)

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Solution for 2logx-2=log(x-25) equation:


Simplifying
2logx + -2 = log(x + -25)

Reorder the terms:
-2 + 2glox = log(x + -25)

Reorder the terms:
-2 + 2glox = glo(-25 + x)
-2 + 2glox = (-25 * glo + x * glo)
-2 + 2glox = (-25glo + glox)

Solving
-2 + 2glox = -25glo + glox

Solving for variable 'g'.

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

Add '25glo' to each side of the equation.
-2 + 25glo + 2glox = -25glo + 25glo + glox

Combine like terms: -25glo + 25glo = 0
-2 + 25glo + 2glox = 0 + glox
-2 + 25glo + 2glox = glox

Add '-1glox' to each side of the equation.
-2 + 25glo + 2glox + -1glox = glox + -1glox

Combine like terms: 2glox + -1glox = 1glox
-2 + 25glo + 1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
-2 + 25glo + 1glox = 0

Add '2' to each side of the equation.
-2 + 25glo + 2 + 1glox = 0 + 2

Reorder the terms:
-2 + 2 + 25glo + 1glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 25glo + 1glox = 0 + 2
25glo + 1glox = 0 + 2

Combine like terms: 0 + 2 = 2
25glo + 1glox = 2

Reorder the terms:
-2 + 25glo + 1glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 25glo + 1glox = 0

The solution to this equation could not be determined.

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