log(2)9x-log(2)3=3

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Solution for log(2)9x-log(2)3=3 equation:


Simplifying
log(2) * 9x + -1log(2) * 3 = 3

Reorder the terms for easier multiplication:
2 * 9glo * x + -1log(2) * 3 = 3

Multiply 2 * 9
18glo * x + -1log(2) * 3 = 3

Multiply glo * x
18glox + -1log(2) * 3 = 3

Reorder the terms for easier multiplication:
18glox + -1 * 2 * 3glo = 3

Multiply -1 * 2
18glox + -2 * 3glo = 3

Multiply -2 * 3
18glox + -6glo = 3

Reorder the terms:
-6glo + 18glox = 3

Solving
-6glo + 18glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -6glo + 18glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -6glo + 18glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -2glo + 6glox) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -2glo + 6glox)' equal to zero and attempt to solve: Simplifying -1 + -2glo + 6glox = 0 Solving -1 + -2glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2glo + 1 + 6glox = 0 + 1 Reorder the terms: -1 + 1 + -2glo + 6glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2glo + 6glox = 0 + 1 -2glo + 6glox = 0 + 1 Combine like terms: 0 + 1 = 1 -2glo + 6glox = 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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