g(x)=[log(4X^3-3X^2)]

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Solution for g(x)=[log(4X^3-3X^2)] equation:


Simplifying
g(x) = [log(4X3 + -3X2)]

Multiply g * x
gx = [log(4X3 + -3X2)]

Reorder the terms:
gx = [glo(-3X2 + 4X3)]
gx = [(-3X2 * glo + 4X3 * glo)]
gx = [(-3gloX2 + 4gloX3)]
gx = [-3gloX2 + 4gloX3]

Remove brackets around [-3gloX2 + 4gloX3]
gx = -3gloX2 + 4gloX3

Solving
gx = -3gloX2 + 4gloX3

Solving for variable 'g'.

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

Add '3gloX2' to each side of the equation.
3gloX2 + gx = -3gloX2 + 3gloX2 + 4gloX3

Combine like terms: -3gloX2 + 3gloX2 = 0
3gloX2 + gx = 0 + 4gloX3
3gloX2 + gx = 4gloX3

Add '-4gloX3' to each side of the equation.
3gloX2 + -4gloX3 + gx = 4gloX3 + -4gloX3

Combine like terms: 4gloX3 + -4gloX3 = 0
3gloX2 + -4gloX3 + gx = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(3loX2 + -4loX3 + x) = 0

Subproblem 1

Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0

Subproblem 2

Set the factor '(3loX2 + -4loX3 + x)' equal to zero and attempt to solve: Simplifying 3loX2 + -4loX3 + x = 0 Solving 3loX2 + -4loX3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3loX2' to each side of the equation. 3loX2 + -4loX3 + -3loX2 + x = 0 + -3loX2 Reorder the terms: 3loX2 + -3loX2 + -4loX3 + x = 0 + -3loX2 Combine like terms: 3loX2 + -3loX2 = 0 0 + -4loX3 + x = 0 + -3loX2 -4loX3 + x = 0 + -3loX2 Remove the zero: -4loX3 + x = -3loX2 Add '4loX3' to each side of the equation. -4loX3 + 4loX3 + x = -3loX2 + 4loX3 Combine like terms: -4loX3 + 4loX3 = 0 0 + x = -3loX2 + 4loX3 x = -3loX2 + 4loX3 Add '-1x' to each side of the equation. x + -1x = -3loX2 + 4loX3 + -1x Combine like terms: x + -1x = 0 0 = -3loX2 + 4loX3 + -1x Simplifying 0 = -3loX2 + 4loX3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

g = {0}

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