log(x+20)-logx=log(x+2)

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Solution for log(x+20)-logx=log(x+2) equation:


Simplifying
log(x + 20) + -1logx = log(x + 2)

Reorder the terms:
glo(20 + x) + -1logx = log(x + 2)
(20 * glo + x * glo) + -1logx = log(x + 2)
(20glo + glox) + -1logx = log(x + 2)

Combine like terms: glox + -1glox = 0
20glo + 0 = log(x + 2)
20glo = log(x + 2)

Reorder the terms:
20glo = glo(2 + x)
20glo = (2 * glo + x * glo)
20glo = (2glo + glox)

Solving
20glo = 2glo + glox

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
20glo + -2glo = 2glo + -2glo + glox

Combine like terms: 20glo + -2glo = 18glo
18glo = 2glo + -2glo + glox

Combine like terms: 2glo + -2glo = 0
18glo = 0 + glox
18glo = glox

Add '-1glox' to each side of the equation.
18glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
18glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(18 + -1x) = 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 '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Add 'x' to each side of the equation. -1x + x = -18 + x Combine like terms: -1x + x = 0 0 = -18 + x Simplifying 0 = -18 + x 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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