log(x)+log(x+4)=log(60)

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Solution for log(x)+log(x+4)=log(60) equation:


Simplifying
log(x) + log(x + 4) = log(60)

Multiply glo * x
glox + log(x + 4) = log(60)

Reorder the terms:
glox + glo(4 + x) = log(60)
glox + (4 * glo + x * glo) = log(60)
glox + (4glo + glox) = log(60)

Reorder the terms:
4glo + glox + glox = log(60)

Combine like terms: glox + glox = 2glox
4glo + 2glox = log(60)

Reorder the terms for easier multiplication:
4glo + 2glox = 60glo

Solving
4glo + 2glox = 60glo

Solving for variable 'g'.

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

Add '-60glo' to each side of the equation.
4glo + -60glo + 2glox = 60glo + -60glo

Combine like terms: 4glo + -60glo = -56glo
-56glo + 2glox = 60glo + -60glo

Combine like terms: 60glo + -60glo = 0
-56glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(-28 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-28 + x)' equal to zero and attempt to solve: Simplifying -28 + x = 0 Solving -28 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x = 0 + 28 x = 0 + 28 Combine like terms: 0 + 28 = 28 x = 28 Add '-1x' to each side of the equation. x + -1x = 28 + -1x Combine like terms: x + -1x = 0 0 = 28 + -1x Simplifying 0 = 28 + -1x 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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