log(8)4x^2+log(8)9=4

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Solution for log(8)4x^2+log(8)9=4 equation:


Simplifying
log(8) * 4x2 + log(8) * 9 = 4

Reorder the terms for easier multiplication:
8 * 4glo * x2 + log(8) * 9 = 4

Multiply 8 * 4
32glo * x2 + log(8) * 9 = 4

Multiply glo * x2
32glox2 + log(8) * 9 = 4

Reorder the terms for easier multiplication:
32glox2 + 8 * 9glo = 4

Multiply 8 * 9
32glox2 + 72glo = 4

Reorder the terms:
72glo + 32glox2 = 4

Solving
72glo + 32glox2 = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 72glo + 32glox2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 72glo + 32glox2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 18glo + 8glox2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + 18glo + 8glox2)' equal to zero and attempt to solve: Simplifying -1 + 18glo + 8glox2 = 0 Solving -1 + 18glo + 8glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 18glo + 1 + 8glox2 = 0 + 1 Reorder the terms: -1 + 1 + 18glo + 8glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 18glo + 8glox2 = 0 + 1 18glo + 8glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 18glo + 8glox2 = 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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