log(2x+36)-log(14)=log(x)

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Solution for log(2x+36)-log(14)=log(x) equation: 


Simplifying
log(2x + 36) + -1log(14) = log(x)

Reorder the terms:
glo(36 + 2x) + -1log(14) = log(x)
(36 * glo + 2x * glo) + -1log(14) = log(x)
(36glo + 2glox) + -1log(14) = log(x)

Reorder the terms for easier multiplication:
36glo + 2glox + -1 * 14glo = log(x)

Multiply -1 * 14
36glo + 2glox + -14glo = log(x)

Reorder the terms:
36glo + -14glo + 2glox = log(x)

Combine like terms: 36glo + -14glo = 22glo
22glo + 2glox = log(x)

Multiply glo * x
22glo + 2glox = glox

Solving
22glo + 2glox = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
22glo + 2glox + -1glox = glox + -1glox

Combine like terms: 2glox + -1glox = 1glox
22glo + 1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
22glo + 1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(22 + x) = 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 '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Add '-1x' to each side of the equation.
x + -1x = -22 + -1x

Combine like terms: x + -1x = 0
0 = -22 + -1x

Simplifying
0 = -22 + -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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