2log(x)-log(x+10)=log(5)

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Solution for 2log(x)-log(x+10)=log(5) equation: 


Simplifying
2log(x) + -1log(x + 10) = log(5)

Multiply glo * x
2glox + -1log(x + 10) = log(5)

Reorder the terms:
2glox + -1glo(10 + x) = log(5)
2glox + (10 * -1glo + x * -1glo) = log(5)
2glox + (-10glo + -1glox) = log(5)

Reorder the terms:
-10glo + 2glox + -1glox = log(5)

Combine like terms: 2glox + -1glox = 1glox
-10glo + 1glox = log(5)

Reorder the terms for easier multiplication:
-10glo + 1glox = 5glo

Solving
-10glo + 1glox = 5glo

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
-10glo + -5glo + 1glox = 5glo + -5glo

Combine like terms: -10glo + -5glo = -15glo
-15glo + 1glox = 5glo + -5glo

Combine like terms: 5glo + -5glo = 0
-15glo + 1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-15 + 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 '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Add '-1x' to each side of the equation.
x + -1x = 15 + -1x

Combine like terms: x + -1x = 0
0 = 15 + -1x

Simplifying
0 = 15 + -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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