log(2v+7)=log(3v-6)

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Solution for log(2v+7)=log(3v-6) equation: 


Simplifying
log(2v + 7) = log(3v + -6)

Reorder the terms:
glo(7 + 2v) = log(3v + -6)
(7 * glo + 2v * glo) = log(3v + -6)
(7glo + 2glov) = log(3v + -6)

Reorder the terms:
7glo + 2glov = glo(-6 + 3v)
7glo + 2glov = (-6 * glo + 3v * glo)
7glo + 2glov = (-6glo + 3glov)

Solving
7glo + 2glov = -6glo + 3glov

Solving for variable 'g'.

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

Add '6glo' to each side of the equation.
7glo + 6glo + 2glov = -6glo + 6glo + 3glov

Combine like terms: 7glo + 6glo = 13glo
13glo + 2glov = -6glo + 6glo + 3glov

Combine like terms: -6glo + 6glo = 0
13glo + 2glov = 0 + 3glov
13glo + 2glov = 3glov

Add '-3glov' to each side of the equation.
13glo + 2glov + -3glov = 3glov + -3glov

Combine like terms: 2glov + -3glov = -1glov
13glo + -1glov = 3glov + -3glov

Combine like terms: 3glov + -3glov = 0
13glo + -1glov = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(13 + -1v) = 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 '(13 + -1v)' equal to zero and attempt to solve:

Simplifying
13 + -1v = 0

Solving
13 + -1v = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1v = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1v = 0 + -13
-1v = 0 + -13

Combine like terms: 0 + -13 = -13
-1v = -13

Add 'v' to each side of the equation.
-1v + v = -13 + v

Combine like terms: -1v + v = 0
0 = -13 + v

Simplifying
0 = -13 + v

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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