log(x)+log(x-3)=log(28)

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Solution for log(x)+log(x-3)=log(28) equation: 


Simplifying
log(x) + log(x + -3) = log(28)

Multiply glo * x
glox + log(x + -3) = log(28)

Reorder the terms:
glox + glo(-3 + x) = log(28)
glox + (-3 * glo + x * glo) = log(28)
glox + (-3glo + glox) = log(28)

Reorder the terms:
-3glo + glox + glox = log(28)

Combine like terms: glox + glox = 2glox
-3glo + 2glox = log(28)

Reorder the terms for easier multiplication:
-3glo + 2glox = 28glo

Solving
-3glo + 2glox = 28glo

Solving for variable 'g'.

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

Add '-28glo' to each side of the equation.
-3glo + -28glo + 2glox = 28glo + -28glo

Combine like terms: -3glo + -28glo = -31glo
-31glo + 2glox = 28glo + -28glo

Combine like terms: 28glo + -28glo = 0
-31glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-31 + 2x) = 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 '(-31 + 2x)' equal to zero and attempt to solve:

Simplifying
-31 + 2x = 0

Solving
-31 + 2x = 0

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

Add '31' to each side of the equation.
-31 + 31 + 2x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 2x = 0 + 31
2x = 0 + 31

Combine like terms: 0 + 31 = 31
2x = 31

Add '-2x' to each side of the equation.
2x + -2x = 31 + -2x

Combine like terms: 2x + -2x = 0
0 = 31 + -2x

Simplifying
0 = 31 + -2x

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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