log(x)+log(x-2)=log(63)

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Solution for log(x)+log(x-2)=log(63) equation: 


Simplifying
log(x) + log(x + -2) = log(63)

Multiply glo * x
glox + log(x + -2) = log(63)

Reorder the terms:
glox + glo(-2 + x) = log(63)
glox + (-2 * glo + x * glo) = log(63)
glox + (-2glo + glox) = log(63)

Reorder the terms:
-2glo + glox + glox = log(63)

Combine like terms: glox + glox = 2glox
-2glo + 2glox = log(63)

Reorder the terms for easier multiplication:
-2glo + 2glox = 63glo

Solving
-2glo + 2glox = 63glo

Solving for variable 'g'.

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

Add '-63glo' to each side of the equation.
-2glo + -63glo + 2glox = 63glo + -63glo

Combine like terms: -2glo + -63glo = -65glo
-65glo + 2glox = 63glo + -63glo

Combine like terms: 63glo + -63glo = 0
-65glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-65 + 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 '(-65 + 2x)' equal to zero and attempt to solve:

Simplifying
-65 + 2x = 0

Solving
-65 + 2x = 0

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

Add '65' to each side of the equation.
-65 + 65 + 2x = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 2x = 0 + 65
2x = 0 + 65

Combine like terms: 0 + 65 = 65
2x = 65

Add '-2x' to each side of the equation.
2x + -2x = 65 + -2x

Combine like terms: 2x + -2x = 0
0 = 65 + -2x

Simplifying
0 = 65 + -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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