log(x)+log(x+7)=log(60)

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Solution for log(x)+log(x+7)=log(60) equation: 


Simplifying
log(x) + log(x + 7) = log(60)

Multiply glo * x
glox + log(x + 7) = log(60)

Reorder the terms:
glox + glo(7 + x) = log(60)
glox + (7 * glo + x * glo) = log(60)
glox + (7glo + glox) = log(60)

Reorder the terms:
7glo + glox + glox = log(60)

Combine like terms: glox + glox = 2glox
7glo + 2glox = log(60)

Reorder the terms for easier multiplication:
7glo + 2glox = 60glo

Solving
7glo + 2glox = 60glo

Solving for variable 'g'.

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

Add '-60glo' to each side of the equation.
7glo + -60glo + 2glox = 60glo + -60glo

Combine like terms: 7glo + -60glo = -53glo
-53glo + 2glox = 60glo + -60glo

Combine like terms: 60glo + -60glo = 0
-53glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-53 + 2x) = 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 '(-53 + 2x)' equal to zero and attempt to solve:

Simplifying
-53 + 2x = 0

Solving
-53 + 2x = 0

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

Add '53' to each side of the equation.
-53 + 53 + 2x = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 2x = 0 + 53
2x = 0 + 53

Combine like terms: 0 + 53 = 53
2x = 53

Add '-2x' to each side of the equation.
2x + -2x = 53 + -2x

Combine like terms: 2x + -2x = 0
0 = 53 + -2x

Simplifying
0 = 53 + -2x

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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