log(x+14)-logx=log(x+6)

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Solution for log(x+14)-logx=log(x+6) equation:


Simplifying
log(x + 14) + -1logx = log(x + 6)

Reorder the terms:
glo(14 + x) + -1logx = log(x + 6)
(14 * glo + x * glo) + -1logx = log(x + 6)
(14glo + glox) + -1logx = log(x + 6)

Combine like terms: glox + -1glox = 0
14glo + 0 = log(x + 6)
14glo = log(x + 6)

Reorder the terms:
14glo = glo(6 + x)
14glo = (6 * glo + x * glo)
14glo = (6glo + glox)

Solving
14glo = 6glo + glox

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
14glo + -6glo = 6glo + -6glo + glox

Combine like terms: 14glo + -6glo = 8glo
8glo = 6glo + -6glo + glox

Combine like terms: 6glo + -6glo = 0
8glo = 0 + glox
8glo = glox

Add '-1glox' to each side of the equation.
8glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
8glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + 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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