log(x)+log(10)=log(120)

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Solution for log(x)+log(10)=log(120) equation: 


Simplifying
log(x) + log(10) = log(120)

Multiply glo * x
glox + log(10) = log(120)

Reorder the terms for easier multiplication:
glox + 10glo = log(120)

Reorder the terms:
10glo + glox = log(120)

Reorder the terms for easier multiplication:
10glo + glox = 120glo

Solving
10glo + glox = 120glo

Solving for variable 'g'.

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

Add '-120glo' to each side of the equation.
10glo + -120glo + glox = 120glo + -120glo

Combine like terms: 10glo + -120glo = -110glo
-110glo + glox = 120glo + -120glo

Combine like terms: 120glo + -120glo = 0
-110glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-110 + 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 '(-110 + x)' equal to zero and attempt to solve:

Simplifying
-110 + x = 0

Solving
-110 + x = 0

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

Add '110' to each side of the equation.
-110 + 110 + x = 0 + 110

Combine like terms: -110 + 110 = 0
0 + x = 0 + 110
x = 0 + 110

Combine like terms: 0 + 110 = 110
x = 110

Add '-1x' to each side of the equation.
x + -1x = 110 + -1x

Combine like terms: x + -1x = 0
0 = 110 + -1x

Simplifying
0 = 110 + -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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