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

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


Simplifying
log(2x) = log(x + 5)

Remove parenthesis around (2x)
glo * 2x = log(x + 5)

Reorder the terms for easier multiplication:
2glo * x = log(x + 5)

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

Reorder the terms:
2glox = glo(5 + x)
2glox = (5 * glo + x * glo)
2glox = (5glo + glox)

Solving
2glox = 5glo + glox

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.
-5glo + 2glox = 5glo + -5glo + glox

Combine like terms: 5glo + -5glo = 0
-5glo + 2glox = 0 + glox
-5glo + 2glox = glox

Add '-1glox' to each side of the equation.
-5glo + 2glox + -1glox = glox + -1glox

Combine like terms: 2glox + -1glox = 1glox
-5glo + 1glox = glox + -1glox

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-5 + 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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Add '-1x' to each side of the equation.
x + -1x = 5 + -1x

Combine like terms: x + -1x = 0
0 = 5 + -1x

Simplifying
0 = 5 + -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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