log(x)+log(7)=log(37)

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Solution for log(x)+log(7)=log(37) equation: 


Simplifying
log(x) + log(7) = log(37)

Multiply glo * x
glox + log(7) = log(37)

Reorder the terms for easier multiplication:
glox + 7glo = log(37)

Reorder the terms:
7glo + glox = log(37)

Reorder the terms for easier multiplication:
7glo + glox = 37glo

Solving
7glo + glox = 37glo

Solving for variable 'g'.

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

Add '-37glo' to each side of the equation.
7glo + -37glo + glox = 37glo + -37glo

Combine like terms: 7glo + -37glo = -30glo
-30glo + glox = 37glo + -37glo

Combine like terms: 37glo + -37glo = 0
-30glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-30 + 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 '(-30 + x)' equal to zero and attempt to solve:

Simplifying
-30 + x = 0

Solving
-30 + x = 0

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

Add '30' to each side of the equation.
-30 + 30 + x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + x = 0 + 30
x = 0 + 30

Combine like terms: 0 + 30 = 30
x = 30

Add '-1x' to each side of the equation.
x + -1x = 30 + -1x

Combine like terms: x + -1x = 0
0 = 30 + -1x

Simplifying
0 = 30 + -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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