Log(18x+7)=log(3x+38)

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Solution for Log(18x+7)=log(3x+38) equation: 


Simplifying
Log(18x + 7) = log(3x + 38)

Reorder the terms:
goL(7 + 18x) = log(3x + 38)
(7 * goL + 18x * goL) = log(3x + 38)
(7goL + 18goxL) = log(3x + 38)

Reorder the terms:
7goL + 18goxL = glo(38 + 3x)
7goL + 18goxL = (38 * glo + 3x * glo)
7goL + 18goxL = (38glo + 3glox)

Solving
7goL + 18goxL = 38glo + 3glox

Solving for variable 'g'.

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

Add '-38glo' to each side of the equation.
7goL + -38glo + 18goxL = 38glo + -38glo + 3glox

Reorder the terms:
-38glo + 7goL + 18goxL = 38glo + -38glo + 3glox

Combine like terms: 38glo + -38glo = 0
-38glo + 7goL + 18goxL = 0 + 3glox
-38glo + 7goL + 18goxL = 3glox

Add '-3glox' to each side of the equation.
-38glo + 7goL + -3glox + 18goxL = 3glox + -3glox

Reorder the terms:
-38glo + -3glox + 7goL + 18goxL = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-38glo + -3glox + 7goL + 18goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-38l + -3lx + 7L + 18xL) = 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 '(-38l + -3lx + 7L + 18xL)' equal to zero and attempt to solve:

Simplifying
-38l + -3lx + 7L + 18xL = 0

Reorder the terms:
7L + -38l + -3lx + 18xL = 0

Solving
7L + -38l + -3lx + 18xL = 0

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

Add '-7L' to each side of the equation.
7L + -38l + -3lx + -7L + 18xL = 0 + -7L

Reorder the terms:
7L + -7L + -38l + -3lx + 18xL = 0 + -7L

Combine like terms: 7L + -7L = 0
0 + -38l + -3lx + 18xL = 0 + -7L
-38l + -3lx + 18xL = 0 + -7L
Remove the zero:
-38l + -3lx + 18xL = -7L

Add '38l' to each side of the equation.
-38l + -3lx + 38l + 18xL = -7L + 38l

Reorder the terms:
-38l + 38l + -3lx + 18xL = -7L + 38l

Combine like terms: -38l + 38l = 0
0 + -3lx + 18xL = -7L + 38l
-3lx + 18xL = -7L + 38l

Add '3lx' to each side of the equation.
-3lx + 3lx + 18xL = -7L + 38l + 3lx

Combine like terms: -3lx + 3lx = 0
0 + 18xL = -7L + 38l + 3lx
18xL = -7L + 38l + 3lx

Add '-18xL' to each side of the equation.
18xL + -18xL = -7L + 38l + 3lx + -18xL

Combine like terms: 18xL + -18xL = 0
0 = -7L + 38l + 3lx + -18xL

Simplifying
0 = -7L + 38l + 3lx + -18xL

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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