log(25)-2+log(2x)=-log(x+1)

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Solution for log(25)-2+log(2x)=-log(x+1) equation:


Simplifying
log(25) + -2 + log(2x) = -1log(x + 1)

Reorder the terms for easier multiplication:
25glo + -2 + log(2x) = -1log(x + 1)

Remove parenthesis around (2x)
25glo + -2 + glo * 2x = -1log(x + 1)

Reorder the terms for easier multiplication:
25glo + -2 + 2glo * x = -1log(x + 1)

Multiply glo * x
25glo + -2 + 2glox = -1log(x + 1)

Reorder the terms:
-2 + 25glo + 2glox = -1log(x + 1)

Reorder the terms:
-2 + 25glo + 2glox = -1glo(1 + x)
-2 + 25glo + 2glox = (1 * -1glo + x * -1glo)
-2 + 25glo + 2glox = (-1glo + -1glox)

Solving
-2 + 25glo + 2glox = -1glo + -1glox

Solving for variable 'g'.

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

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

Combine like terms: 25glo + glo = 26glo
-2 + 26glo + 2glox = -1glo + glo + -1glox

Combine like terms: -1glo + glo = 0
-2 + 26glo + 2glox = 0 + -1glox
-2 + 26glo + 2glox = -1glox

Add 'glox' to each side of the equation.
-2 + 26glo + 2glox + glox = -1glox + glox

Combine like terms: 2glox + glox = 3glox
-2 + 26glo + 3glox = -1glox + glox

Combine like terms: -1glox + glox = 0
-2 + 26glo + 3glox = 0

Add '2' to each side of the equation.
-2 + 26glo + 2 + 3glox = 0 + 2

Reorder the terms:
-2 + 2 + 26glo + 3glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 26glo + 3glox = 0 + 2
26glo + 3glox = 0 + 2

Combine like terms: 0 + 2 = 2
26glo + 3glox = 2

Reorder the terms:
-2 + 26glo + 3glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 26glo + 3glox = 0

The solution to this equation could not be determined.

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