log(x+14)+log(x+134)=4

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Solution for log(x+14)+log(x+134)=4 equation: 


Simplifying
log(x + 14) + log(x + 134) = 4

Reorder the terms:
glo(14 + x) + log(x + 134) = 4
(14 * glo + x * glo) + log(x + 134) = 4
(14glo + glox) + log(x + 134) = 4

Reorder the terms:
14glo + glox + glo(134 + x) = 4
14glo + glox + (134 * glo + x * glo) = 4
14glo + glox + (134glo + glox) = 4

Reorder the terms:
14glo + 134glo + glox + glox = 4

Combine like terms: 14glo + 134glo = 148glo
148glo + glox + glox = 4

Combine like terms: glox + glox = 2glox
148glo + 2glox = 4

Solving
148glo + 2glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 148glo + 2glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 148glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 74glo + glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 74glo + glox)' equal to zero and attempt to solve:

Simplifying
-2 + 74glo + glox = 0

Solving
-2 + 74glo + glox = 0

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

Add '2' to each side of the equation.
-2 + 74glo + 2 + glox = 0 + 2

Reorder the terms:
-2 + 2 + 74glo + glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 74glo + glox = 0 + 2
74glo + glox = 0 + 2

Combine like terms: 0 + 2 = 2
74glo + glox = 2

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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