log(x^2)+2log(x)=log(64)

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Solution for log(x^2)+2log(x)=log(64) equation: 


Simplifying
log(x2) + 2log(x) = log(64)

Multiply glo * x2
glox2 + 2log(x) = log(64)

Multiply glo * x
glox2 + 2glox = log(64)

Reorder the terms:
2glox + glox2 = log(64)

Reorder the terms for easier multiplication:
2glox + glox2 = 64glo

Solving
2glox + glox2 = 64glo

Solving for variable 'g'.

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

Add '-64glo' to each side of the equation.
2glox + -64glo + glox2 = 64glo + -64glo

Reorder the terms:
-64glo + 2glox + glox2 = 64glo + -64glo

Combine like terms: 64glo + -64glo = 0
-64glo + 2glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-64 + 2x + x2) = 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 '(-64 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
-64 + 2x + x2 = 0

Solving
-64 + 2x + x2 = 0

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

Add '64' to each side of the equation.
-64 + 2x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + 2x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 2x + x2 = 0 + 64
2x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
2x + x2 = 64

Add '-2x' to each side of the equation.
2x + -2x + x2 = 64 + -2x

Combine like terms: 2x + -2x = 0
0 + x2 = 64 + -2x
x2 = 64 + -2x

Add '-1x2' to each side of the equation.
x2 + -1x2 = 64 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 64 + -2x + -1x2

Simplifying
0 = 64 + -2x + -1x2

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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