log(3)(x^2+8)-log(3)4=3

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Solution for log(3)(x^2+8)-log(3)4=3 equation:


Simplifying
log(3)(x2 + 8) + -1log(3) * 4 = 3

Reorder the terms:
glo * 3(8 + x2) + -1log(3) * 4 = 3

Reorder the terms for easier multiplication:
3glo(8 + x2) + -1log(3) * 4 = 3
(8 * 3glo + x2 * 3glo) + -1log(3) * 4 = 3
(24glo + 3glox2) + -1log(3) * 4 = 3

Reorder the terms for easier multiplication:
24glo + 3glox2 + -1 * 3 * 4glo = 3

Multiply -1 * 3
24glo + 3glox2 + -3 * 4glo = 3

Multiply -3 * 4
24glo + 3glox2 + -12glo = 3

Reorder the terms:
24glo + -12glo + 3glox2 = 3

Combine like terms: 24glo + -12glo = 12glo
12glo + 3glox2 = 3

Solving
12glo + 3glox2 = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 12glo + 3glox2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 12glo + 3glox2 = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + 4glo + glox2)' equal to zero and attempt to solve: Simplifying -1 + 4glo + glox2 = 0 Solving -1 + 4glo + glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4glo + 1 + glox2 = 0 + 1 Reorder the terms: -1 + 1 + 4glo + glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4glo + glox2 = 0 + 1 4glo + glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 4glo + glox2 = 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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