log[x^2-3](729)=3

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Solution for log[x^2-3](729)=3 equation:


Simplifying
log[x2 + -3](729) = 3

Reorder the terms:
glo[-3 + x2](729) = 3

Reorder the terms for easier multiplication:
729glo[-3 + x2] = 3
[-3 * 729glo + x2 * 729glo] = 3
[-2187glo + 729glox2] = 3

Solving
-2187glo + 729glox2 = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -2187glo + 729glox2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -2187glo + 729glox2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -729glo + 243glox2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -729glo + 243glox2)' equal to zero and attempt to solve: Simplifying -1 + -729glo + 243glox2 = 0 Solving -1 + -729glo + 243glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -729glo + 1 + 243glox2 = 0 + 1 Reorder the terms: -1 + 1 + -729glo + 243glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -729glo + 243glox2 = 0 + 1 -729glo + 243glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -729glo + 243glox2 = 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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