log[3]4x^2-log[3]4=4

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Solution for log[3]4x^2-log[3]4=4 equation:


Simplifying
log[3] * 4x2 + -1log[3] * 4 = 4

Reorder the terms for easier multiplication:
3 * 4glo * x2 + -1log[3] * 4 = 4

Multiply 3 * 4
12glo * x2 + -1log[3] * 4 = 4

Multiply glo * x2
12glox2 + -1log[3] * 4 = 4

Reorder the terms for easier multiplication:
12glox2 + -1 * 3 * 4glo = 4

Multiply -1 * 3
12glox2 + -3 * 4glo = 4

Multiply -3 * 4
12glox2 + -12glo = 4

Reorder the terms:
-12glo + 12glox2 = 4

Solving
-12glo + 12glox2 = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -12glo + 12glox2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -12glo + 12glox2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -3glo + 3glox2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -3glo + 3glox2)' equal to zero and attempt to solve: Simplifying -1 + -3glo + 3glox2 = 0 Solving -1 + -3glo + 3glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3glo + 1 + 3glox2 = 0 + 1 Reorder the terms: -1 + 1 + -3glo + 3glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3glo + 3glox2 = 0 + 1 -3glo + 3glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3glo + 3glox2 = 1 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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