log(x+30)-log(X+2)=logx

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Solution for log(x+30)-log(X+2)=logx equation: 


Simplifying
log(x + 30) + -1log(X + 2) = logx

Reorder the terms:
glo(30 + x) + -1log(X + 2) = logx
(30 * glo + x * glo) + -1log(X + 2) = logx
(30glo + glox) + -1log(X + 2) = logx

Reorder the terms:
30glo + glox + -1glo(2 + X) = logx
30glo + glox + (2 * -1glo + X * -1glo) = logx
30glo + glox + (-2glo + -1gloX) = logx

Reorder the terms:
30glo + -2glo + -1gloX + glox = logx

Combine like terms: 30glo + -2glo = 28glo
28glo + -1gloX + glox = logx

Add '-1glox' to each side of the equation.
28glo + -1gloX + glox + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
28glo + -1gloX + 0 = glox + -1glox
28glo + -1gloX = glox + -1glox

Combine like terms: glox + -1glox = 0
28glo + -1gloX = 0

Solving
28glo + -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(28 + -1X) = 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 '(28 + -1X)' equal to zero and attempt to solve:

Simplifying
28 + -1X = 0

Solving
28 + -1X = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1X = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1X = 0 + -28
-1X = 0 + -28

Combine like terms: 0 + -28 = -28
-1X = -28

Add 'X' to each side of the equation.
-1X + X = -28 + X

Combine like terms: -1X + X = 0
0 = -28 + X

Simplifying
0 = -28 + X

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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