log(6)+log(x-3)=2log(6)

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Solution for log(6)+log(x-3)=2log(6) equation: 


Simplifying
log(6) + log(x + -3) = 2log(6)

Reorder the terms for easier multiplication:
6glo + log(x + -3) = 2log(6)

Reorder the terms:
6glo + glo(-3 + x) = 2log(6)
6glo + (-3 * glo + x * glo) = 2log(6)
6glo + (-3glo + glox) = 2log(6)

Combine like terms: 6glo + -3glo = 3glo
3glo + glox = 2log(6)

Reorder the terms for easier multiplication:
3glo + glox = 2 * 6glo

Multiply 2 * 6
3glo + glox = 12glo

Solving
3glo + glox = 12glo

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
3glo + -12glo + glox = 12glo + -12glo

Combine like terms: 3glo + -12glo = -9glo
-9glo + glox = 12glo + -12glo

Combine like terms: 12glo + -12glo = 0
-9glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-9 + 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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Add '-1x' to each side of the equation.
x + -1x = 9 + -1x

Combine like terms: x + -1x = 0
0 = 9 + -1x

Simplifying
0 = 9 + -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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