log(x)+log(2x)=log(8)

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Solution for log(x)+log(2x)=log(8) equation: 


Simplifying
log(x) + log(2x) = log(8)

Multiply glo * x
glox + log(2x) = log(8)

Remove parenthesis around (2x)
glox + glo * 2x = log(8)

Reorder the terms for easier multiplication:
glox + 2glo * x = log(8)

Multiply glo * x
glox + 2glox = log(8)

Combine like terms: glox + 2glox = 3glox
3glox = log(8)

Reorder the terms for easier multiplication:
3glox = 8glo

Solving
3glox = 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.
-8glo + 3glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 0
-8glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-8 + 3x) = 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 '(-8 + 3x)' equal to zero and attempt to solve:

Simplifying
-8 + 3x = 0

Solving
-8 + 3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8

Combine like terms: 0 + 8 = 8
3x = 8

Add '-3x' to each side of the equation.
3x + -3x = 8 + -3x

Combine like terms: 3x + -3x = 0
0 = 8 + -3x

Simplifying
0 = 8 + -3x

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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