log(3)=log(5)+log(x-4)

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Solution for log(3)=log(5)+log(x-4) equation: 


Simplifying
log(3) = log(5) + log(x + -4)

Reorder the terms for easier multiplication:
3glo = log(5) + log(x + -4)

Reorder the terms for easier multiplication:
3glo = 5glo + log(x + -4)

Reorder the terms:
3glo = 5glo + glo(-4 + x)
3glo = 5glo + (-4 * glo + x * glo)
3glo = 5glo + (-4glo + glox)

Combine like terms: 5glo + -4glo = 1glo
3glo = 1glo + glox

Solving
3glo = 1glo + glox

Solving for variable 'g'.

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

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

Combine like terms: 3glo + -1glo = 2glo
2glo = 1glo + -1glo + glox

Combine like terms: 1glo + -1glo = 0
2glo = 0 + glox
2glo = glox

Add '-1glox' to each side of the equation.
2glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
2glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

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

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

Simplifying
0 = -2 + x

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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