log(4)*(9*y+9)=6*x^4+9

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Solution for log(4)*(9*y+9)=6*x^4+9 equation:


Simplifying
log(4)(9y + 9) = 6x4 + 9

Reorder the terms:
glo * 4(9 + 9y) = 6x4 + 9

Reorder the terms for easier multiplication:
4glo(9 + 9y) = 6x4 + 9
(9 * 4glo + 9y * 4glo) = 6x4 + 9
(36glo + 36gloy) = 6x4 + 9

Reorder the terms:
36glo + 36gloy = 9 + 6x4

Solving
36glo + 36gloy = 9 + 6x4

Solving for variable 'g'.

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

Reorder the terms:
-9 + 36glo + 36gloy + -6x4 = 9 + 6x4 + -9 + -6x4

Reorder the terms:
-9 + 36glo + 36gloy + -6x4 = 9 + -9 + 6x4 + -6x4

Combine like terms: 9 + -9 = 0
-9 + 36glo + 36gloy + -6x4 = 0 + 6x4 + -6x4
-9 + 36glo + 36gloy + -6x4 = 6x4 + -6x4

Combine like terms: 6x4 + -6x4 = 0
-9 + 36glo + 36gloy + -6x4 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 12glo + 12gloy + -2x4) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + 12glo + 12gloy + -2x4)' equal to zero and attempt to solve: Simplifying -3 + 12glo + 12gloy + -2x4 = 0 Solving -3 + 12glo + 12gloy + -2x4 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12glo + 12gloy + 3 + -2x4 = 0 + 3 Reorder the terms: -3 + 3 + 12glo + 12gloy + -2x4 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12glo + 12gloy + -2x4 = 0 + 3 12glo + 12gloy + -2x4 = 0 + 3 Combine like terms: 0 + 3 = 3 12glo + 12gloy + -2x4 = 3 Add '2x4' to each side of the equation. 12glo + 12gloy + -2x4 + 2x4 = 3 + 2x4 Combine like terms: -2x4 + 2x4 = 0 12glo + 12gloy + 0 = 3 + 2x4 12glo + 12gloy = 3 + 2x4 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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