log(x+4)=log(4x)

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Solution for log(x+4)=log(4x) equation: 


Simplifying
log(x + 4) = log(4x)

Reorder the terms:
glo(4 + x) = log(4x)
(4 * glo + x * glo) = log(4x)
(4glo + glox) = log(4x)

Remove parenthesis around (4x)
4glo + glox = glo * 4x

Reorder the terms for easier multiplication:
4glo + glox = 4glo * x

Multiply glo * x
4glo + glox = 4glox

Solving
4glo + glox = 4glox

Solving for variable 'g'.

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

Add '-4glox' to each side of the equation.
4glo + glox + -4glox = 4glox + -4glox

Combine like terms: glox + -4glox = -3glox
4glo + -3glox = 4glox + -4glox

Combine like terms: 4glox + -4glox = 0
4glo + -3glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(4 + -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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Add '3x' to each side of the equation.
-3x + 3x = -4 + 3x

Combine like terms: -3x + 3x = 0
0 = -4 + 3x

Simplifying
0 = -4 + 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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