log(x+11)-log(2)=log(4x+4)

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Solution for log(x+11)-log(2)=log(4x+4) equation:


Simplifying
log(x + 11) + -1log(2) = log(4x + 4)

Reorder the terms:
glo(11 + x) + -1log(2) = log(4x + 4)
(11 * glo + x * glo) + -1log(2) = log(4x + 4)
(11glo + glox) + -1log(2) = log(4x + 4)

Reorder the terms for easier multiplication:
11glo + glox + -1 * 2glo = log(4x + 4)

Multiply -1 * 2
11glo + glox + -2glo = log(4x + 4)

Reorder the terms:
11glo + -2glo + glox = log(4x + 4)

Combine like terms: 11glo + -2glo = 9glo
9glo + glox = log(4x + 4)

Reorder the terms:
9glo + glox = glo(4 + 4x)
9glo + glox = (4 * glo + 4x * glo)
9glo + glox = (4glo + 4glox)

Solving
9glo + glox = 4glo + 4glox

Solving for variable 'g'.

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

Add '-4glo' to each side of the equation.
9glo + -4glo + glox = 4glo + -4glo + 4glox

Combine like terms: 9glo + -4glo = 5glo
5glo + glox = 4glo + -4glo + 4glox

Combine like terms: 4glo + -4glo = 0
5glo + glox = 0 + 4glox
5glo + glox = 4glox

Add '-4glox' to each side of the equation.
5glo + glox + -4glox = 4glox + -4glox

Combine like terms: glox + -4glox = -3glox
5glo + -3glox = 4glox + -4glox

Combine like terms: 4glox + -4glox = 0
5glo + -3glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(5 + -3x) = 0

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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Add '3x' to each side of the equation. -3x + 3x = -5 + 3x Combine like terms: -3x + 3x = 0 0 = -5 + 3x Simplifying 0 = -5 + 3x 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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