log(4)+log(x-4)=log(41)

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Solution for log(4)+log(x-4)=log(41) equation: 


Simplifying
log(4) + log(x + -4) = log(41)

Reorder the terms for easier multiplication:
4glo + log(x + -4) = log(41)

Reorder the terms:
4glo + glo(-4 + x) = log(41)
4glo + (-4 * glo + x * glo) = log(41)
4glo + (-4glo + glox) = log(41)

Combine like terms: 4glo + -4glo = 0
0 + glox = log(41)
glox = log(41)

Reorder the terms for easier multiplication:
glox = 41glo

Solving
glox = 41glo

Solving for variable 'g'.

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

Add '-41glo' to each side of the equation.
-41glo + glox = 41glo + -41glo

Combine like terms: 41glo + -41glo = 0
-41glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-41 + x) = 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 '(-41 + x)' equal to zero and attempt to solve:

Simplifying
-41 + x = 0

Solving
-41 + x = 0

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

Add '41' to each side of the equation.
-41 + 41 + x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + x = 0 + 41
x = 0 + 41

Combine like terms: 0 + 41 = 41
x = 41

Add '-1x' to each side of the equation.
x + -1x = 41 + -1x

Combine like terms: x + -1x = 0
0 = 41 + -1x

Simplifying
0 = 41 + -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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