Log*(5*x-3)+log*2=log*(24-2*x)

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Solution for Log*(5*x-3)+log*2=log*(24-2*x) equation: 


Simplifying
Log(5x + -3) + log * 2 = log(24 + -2x)

Reorder the terms:
goL(-3 + 5x) + log * 2 = log(24 + -2x)
(-3 * goL + 5x * goL) + log * 2 = log(24 + -2x)
(-3goL + 5goxL) + log * 2 = log(24 + -2x)

Reorder the terms for easier multiplication:
-3goL + 5goxL + 2glo = log(24 + -2x)

Reorder the terms:
2glo + -3goL + 5goxL = log(24 + -2x)
2glo + -3goL + 5goxL = (24 * glo + -2x * glo)
2glo + -3goL + 5goxL = (24glo + -2glox)

Solving
2glo + -3goL + 5goxL = 24glo + -2glox

Solving for variable 'g'.

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

Add '-24glo' to each side of the equation.
2glo + -3goL + -24glo + 5goxL = 24glo + -24glo + -2glox

Reorder the terms:
2glo + -24glo + -3goL + 5goxL = 24glo + -24glo + -2glox

Combine like terms: 2glo + -24glo = -22glo
-22glo + -3goL + 5goxL = 24glo + -24glo + -2glox

Combine like terms: 24glo + -24glo = 0
-22glo + -3goL + 5goxL = 0 + -2glox
-22glo + -3goL + 5goxL = -2glox

Add '2glox' to each side of the equation.
-22glo + -3goL + 2glox + 5goxL = -2glox + 2glox

Reorder the terms:
-22glo + 2glox + -3goL + 5goxL = -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
-22glo + 2glox + -3goL + 5goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-22l + 2lx + -3L + 5xL) = 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 '(-22l + 2lx + -3L + 5xL)' equal to zero and attempt to solve:

Simplifying
-22l + 2lx + -3L + 5xL = 0

Reorder the terms:
-3L + -22l + 2lx + 5xL = 0

Solving
-3L + -22l + 2lx + 5xL = 0

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

Add '3L' to each side of the equation.
-3L + -22l + 2lx + 3L + 5xL = 0 + 3L

Reorder the terms:
-3L + 3L + -22l + 2lx + 5xL = 0 + 3L

Combine like terms: -3L + 3L = 0
0 + -22l + 2lx + 5xL = 0 + 3L
-22l + 2lx + 5xL = 0 + 3L
Remove the zero:
-22l + 2lx + 5xL = 3L

Add '22l' to each side of the equation.
-22l + 2lx + 22l + 5xL = 3L + 22l

Reorder the terms:
-22l + 22l + 2lx + 5xL = 3L + 22l

Combine like terms: -22l + 22l = 0
0 + 2lx + 5xL = 3L + 22l
2lx + 5xL = 3L + 22l

Add '-2lx' to each side of the equation.
2lx + -2lx + 5xL = 3L + 22l + -2lx

Combine like terms: 2lx + -2lx = 0
0 + 5xL = 3L + 22l + -2lx
5xL = 3L + 22l + -2lx

Add '-5xL' to each side of the equation.
5xL + -5xL = 3L + 22l + -2lx + -5xL

Combine like terms: 5xL + -5xL = 0
0 = 3L + 22l + -2lx + -5xL

Simplifying
0 = 3L + 22l + -2lx + -5xL

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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