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

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


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

Multiply glo * x
2glox + -1log(3) = log(24)

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

Multiply -1 * 3
2glox + -3glo = log(24)

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

Reorder the terms for easier multiplication:
-3glo + 2glox = 24glo

Solving
-3glo + 2glox = 24glo

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.
-3glo + -24glo + 2glox = 24glo + -24glo

Combine like terms: -3glo + -24glo = -27glo
-27glo + 2glox = 24glo + -24glo

Combine like terms: 24glo + -24glo = 0
-27glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-27 + 2x) = 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 '(-27 + 2x)' equal to zero and attempt to solve:

Simplifying
-27 + 2x = 0

Solving
-27 + 2x = 0

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

Add '27' to each side of the equation.
-27 + 27 + 2x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = 0 + 27
2x = 0 + 27

Combine like terms: 0 + 27 = 27
2x = 27

Add '-2x' to each side of the equation.
2x + -2x = 27 + -2x

Combine like terms: 2x + -2x = 0
0 = 27 + -2x

Simplifying
0 = 27 + -2x

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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