logx+log(x+4)=2

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Solution for logx+log(x+4)=2 equation:


Simplifying
logx + log(x + 4) = 2

Reorder the terms:
glox + glo(4 + x) = 2
glox + (4 * glo + x * glo) = 2
glox + (4glo + glox) = 2

Reorder the terms:
4glo + glox + glox = 2

Combine like terms: glox + glox = 2glox
4glo + 2glox = 2

Solving
4glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 4glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 4glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2glo + glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 2glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 2glo + glox = 0 Solving -1 + 2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 2glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glo + glox = 0 + 1 2glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 2glo + glox = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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