log[9]x=log[9]5+log[9]6-log[9]3

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Solution for log[9]x=log[9]5+log[9]6-log[9]3 equation:


Simplifying
log[9] * x = log[9] * 5 + log[9] * 6 + -1log[9] * 3

Reorder the terms for easier multiplication:
9glo * x = log[9] * 5 + log[9] * 6 + -1log[9] * 3

Multiply glo * x
9glox = log[9] * 5 + log[9] * 6 + -1log[9] * 3

Reorder the terms for easier multiplication:
9glox = 9 * 5glo + log[9] * 6 + -1log[9] * 3

Multiply 9 * 5
9glox = 45glo + log[9] * 6 + -1log[9] * 3

Reorder the terms for easier multiplication:
9glox = 45glo + 9 * 6glo + -1log[9] * 3

Multiply 9 * 6
9glox = 45glo + 54glo + -1log[9] * 3

Reorder the terms for easier multiplication:
9glox = 45glo + 54glo + -1 * 9 * 3glo

Multiply -1 * 9
9glox = 45glo + 54glo + -9 * 3glo

Multiply -9 * 3
9glox = 45glo + 54glo + -27glo

Combine like terms: 45glo + 54glo = 99glo
9glox = 99glo + -27glo

Combine like terms: 99glo + -27glo = 72glo
9glox = 72glo

Solving
9glox = 72glo

Solving for variable 'g'.

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

Add '-72glo' to each side of the equation.
-72glo + 9glox = 72glo + -72glo

Combine like terms: 72glo + -72glo = 0
-72glo + 9glox = 0

Factor out the Greatest Common Factor (GCF), '9glo'.
9glo(-8 + x) = 0

Ignore the factor 9.

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