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

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


Simplifying
Log(x) + log(2) = log(24) + -1log(3)

Multiply goL * x
goxL + log(2) = log(24) + -1log(3)

Reorder the terms for easier multiplication:
goxL + 2glo = log(24) + -1log(3)

Reorder the terms:
2glo + goxL = log(24) + -1log(3)

Reorder the terms for easier multiplication:
2glo + goxL = 24glo + -1log(3)

Reorder the terms for easier multiplication:
2glo + goxL = 24glo + -1 * 3glo

Multiply -1 * 3
2glo + goxL = 24glo + -3glo

Combine like terms: 24glo + -3glo = 21glo
2glo + goxL = 21glo

Solving
2glo + goxL = 21glo

Solving for variable 'g'.

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

Add '-21glo' to each side of the equation.
2glo + -21glo + goxL = 21glo + -21glo

Combine like terms: 2glo + -21glo = -19glo
-19glo + goxL = 21glo + -21glo

Combine like terms: 21glo + -21glo = 0
-19glo + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-19l + xL) = 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 '(-19l + xL)' equal to zero and attempt to solve:

Simplifying
-19l + xL = 0

Solving
-19l + xL = 0

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

Add '19l' to each side of the equation.
-19l + 19l + xL = 0 + 19l

Combine like terms: -19l + 19l = 0
0 + xL = 0 + 19l
xL = 0 + 19l
Remove the zero:
xL = 19l

Add '-1xL' to each side of the equation.
xL + -1xL = 19l + -1xL

Combine like terms: xL + -1xL = 0
0 = 19l + -1xL

Simplifying
0 = 19l + -1xL

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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