Log[6](x)+log[6](x-5)=2

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Solution for Log[6](x)+log[6](x-5)=2 equation: 


Simplifying
Log[6](x) + log[6](x + -5) = 2

Reorder the terms for easier multiplication:
6goL * x + log[6](x + -5) = 2

Multiply goL * x
6goxL + log[6](x + -5) = 2

Reorder the terms:
6goxL + glo * 6(-5 + x) = 2

Reorder the terms for easier multiplication:
6goxL + 6glo(-5 + x) = 2
6goxL + (-5 * 6glo + x * 6glo) = 2
6goxL + (-30glo + 6glox) = 2

Reorder the terms:
-30glo + 6glox + 6goxL = 2

Solving
-30glo + 6glox + 6goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -30glo + 6glox + 6goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -30glo + 6glox + 6goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -15glo + 3glox + 3goxL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -15glo + 3glox + 3goxL)' equal to zero and attempt to solve:

Simplifying
-1 + -15glo + 3glox + 3goxL = 0

Solving
-1 + -15glo + 3glox + 3goxL = 0

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

Add '1' to each side of the equation.
-1 + -15glo + 3glox + 1 + 3goxL = 0 + 1

Reorder the terms:
-1 + 1 + -15glo + 3glox + 3goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -15glo + 3glox + 3goxL = 0 + 1
-15glo + 3glox + 3goxL = 0 + 1

Combine like terms: 0 + 1 = 1
-15glo + 3glox + 3goxL = 1

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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