2logx-logx(x+6)=0

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Solution for 2logx-logx(x+6)=0 equation: 


Simplifying
2logx + -1logx(x + 6) = 0

Reorder the terms:
2glox + -1glox(6 + x) = 0
2glox + (6 * -1glox + x * -1glox) = 0
2glox + (-6glox + -1glox2) = 0

Combine like terms: 2glox + -6glox = -4glox
-4glox + -1glox2 = 0

Solving
-4glox + -1glox2 = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '-1glox'.
-1glox(4 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve:

Simplifying
glox = 0

Solving
glox = 0

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

Simplifying
glox = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Add '-1x' to each side of the equation.
x + -1x = -4 + -1x

Combine like terms: x + -1x = 0
0 = -4 + -1x

Simplifying
0 = -4 + -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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