LOG(X+2)-LOG(4X+3)=1

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Solution for LOG(X+2)-LOG(4X+3)=1 equation: 


Simplifying
LOG(X + 2) + -1LOG(4X + 3) = 1

Reorder the terms:
GLO(2 + X) + -1LOG(4X + 3) = 1
(2 * GLO + X * GLO) + -1LOG(4X + 3) = 1
(2GLO + GLOX) + -1LOG(4X + 3) = 1

Reorder the terms:
2GLO + GLOX + -1GLO(3 + 4X) = 1
2GLO + GLOX + (3 * -1GLO + 4X * -1GLO) = 1
2GLO + GLOX + (-3GLO + -4GLOX) = 1

Reorder the terms:
2GLO + -3GLO + GLOX + -4GLOX = 1

Combine like terms: 2GLO + -3GLO = -1GLO
-1GLO + GLOX + -4GLOX = 1

Combine like terms: GLOX + -4GLOX = -3GLOX
-1GLO + -3GLOX = 1

Solving
-1GLO + -3GLOX = 1

Solving for variable 'G'.

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

Reorder the terms:
-1 + -1GLO + -3GLOX = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1GLO + -3GLOX = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + GLO + 3GLOX) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + GLO + 3GLOX)' equal to zero and attempt to solve:

Simplifying
1 + GLO + 3GLOX = 0

Solving
1 + GLO + 3GLOX = 0

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

Add '-1' to each side of the equation.
1 + GLO + -1 + 3GLOX = 0 + -1

Reorder the terms:
1 + -1 + GLO + 3GLOX = 0 + -1

Combine like terms: 1 + -1 = 0
0 + GLO + 3GLOX = 0 + -1
GLO + 3GLOX = 0 + -1

Combine like terms: 0 + -1 = -1
GLO + 3GLOX = -1

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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