log(5)+log(x-6)=log(8)

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Solution for log(5)+log(x-6)=log(8) equation: 


Simplifying
log(5) + log(x + -6) = log(8)

Reorder the terms for easier multiplication:
5glo + log(x + -6) = log(8)

Reorder the terms:
5glo + glo(-6 + x) = log(8)
5glo + (-6 * glo + x * glo) = log(8)
5glo + (-6glo + glox) = log(8)

Combine like terms: 5glo + -6glo = -1glo
-1glo + glox = log(8)

Reorder the terms for easier multiplication:
-1glo + glox = 8glo

Solving
-1glo + glox = 8glo

Solving for variable 'g'.

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

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

Combine like terms: -1glo + -8glo = -9glo
-9glo + glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 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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