Log(3x+3)=log(x^2-7)

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Solution for Log(3x+3)=log(x^2-7) equation: 


Simplifying
Log(3x + 3) = log(x2 + -7)

Reorder the terms:
goL(3 + 3x) = log(x2 + -7)
(3 * goL + 3x * goL) = log(x2 + -7)
(3goL + 3goxL) = log(x2 + -7)

Reorder the terms:
3goL + 3goxL = glo(-7 + x2)
3goL + 3goxL = (-7 * glo + x2 * glo)
3goL + 3goxL = (-7glo + glox2)

Solving
3goL + 3goxL = -7glo + glox2

Solving for variable 'g'.

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

Add '7glo' to each side of the equation.
3goL + 7glo + 3goxL = -7glo + 7glo + glox2

Reorder the terms:
7glo + 3goL + 3goxL = -7glo + 7glo + glox2

Combine like terms: -7glo + 7glo = 0
7glo + 3goL + 3goxL = 0 + glox2
7glo + 3goL + 3goxL = glox2

Add '-1glox2' to each side of the equation.
7glo + 3goL + -1glox2 + 3goxL = glox2 + -1glox2

Reorder the terms:
7glo + -1glox2 + 3goL + 3goxL = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
7glo + -1glox2 + 3goL + 3goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(7l + -1lx2 + 3L + 3xL) = 0


Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(7l + -1lx2 + 3L + 3xL)' equal to zero and attempt to solve:

Simplifying
7l + -1lx2 + 3L + 3xL = 0

Reorder the terms:
3L + 7l + -1lx2 + 3xL = 0

Solving
3L + 7l + -1lx2 + 3xL = 0

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

Add '-3L' to each side of the equation.
3L + 7l + -1lx2 + -3L + 3xL = 0 + -3L

Reorder the terms:
3L + -3L + 7l + -1lx2 + 3xL = 0 + -3L

Combine like terms: 3L + -3L = 0
0 + 7l + -1lx2 + 3xL = 0 + -3L
7l + -1lx2 + 3xL = 0 + -3L
Remove the zero:
7l + -1lx2 + 3xL = -3L

Add '-7l' to each side of the equation.
7l + -1lx2 + -7l + 3xL = -3L + -7l

Reorder the terms:
7l + -7l + -1lx2 + 3xL = -3L + -7l

Combine like terms: 7l + -7l = 0
0 + -1lx2 + 3xL = -3L + -7l
-1lx2 + 3xL = -3L + -7l

Add 'lx2' to each side of the equation.
-1lx2 + lx2 + 3xL = -3L + -7l + lx2

Combine like terms: -1lx2 + lx2 = 0
0 + 3xL = -3L + -7l + lx2
3xL = -3L + -7l + lx2

Add '-3xL' to each side of the equation.
3xL + -3xL = -3L + -7l + lx2 + -3xL

Combine like terms: 3xL + -3xL = 0
0 = -3L + -7l + lx2 + -3xL

Simplifying
0 = -3L + -7l + lx2 + -3xL

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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