log(2x+7)-log(x)=

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Solution for log(2x+7)-log(x)= equation: 


Simplifying
log(2x + 7) + -1log(x) = 0

Reorder the terms:
glo(7 + 2x) + -1log(x) = 0
(7 * glo + 2x * glo) + -1log(x) = 0
(7glo + 2glox) + -1log(x) = 0

Multiply glo * x
7glo + 2glox + -1glox = 0

Combine like terms: 2glox + -1glox = 1glox
7glo + 1glox = 0

Solving
7glo + 1glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(7 + 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Add '-1x' to each side of the equation.
x + -1x = -7 + -1x

Combine like terms: x + -1x = 0
0 = -7 + -1x

Simplifying
0 = -7 + -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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