xlog(4)-log(9)+xlog(2)+log(8)=0

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Solution for xlog(4)-log(9)+xlog(2)+log(8)=0 equation:


Simplifying
xlog(4) + -1log(9) + xlog(2) + log(8) = 0

Reorder the terms for easier multiplication:
4glox + -1log(9) + xlog(2) + log(8) = 0

Reorder the terms for easier multiplication:
4glox + -1 * 9glo + xlog(2) + log(8) = 0

Multiply -1 * 9
4glox + -9glo + xlog(2) + log(8) = 0

Reorder the terms for easier multiplication:
4glox + -9glo + 2glox + log(8) = 0

Reorder the terms for easier multiplication:
4glox + -9glo + 2glox + 8glo = 0

Reorder the terms:
-9glo + 8glo + 4glox + 2glox = 0

Combine like terms: -9glo + 8glo = -1glo
-1glo + 4glox + 2glox = 0

Combine like terms: 4glox + 2glox = 6glox
-1glo + 6glox = 0

Solving
-1glo + 6glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1 + 6x) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 6x)' equal to zero and attempt to solve: Simplifying -1 + 6x = 0 Solving -1 + 6x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Add '-6x' to each side of the equation. 6x + -6x = 1 + -6x Combine like terms: 6x + -6x = 0 0 = 1 + -6x Simplifying 0 = 1 + -6x 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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