2log(x)-log(9)=log(441)

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Solution for 2log(x)-log(9)=log(441) equation:


Simplifying
2log(x) + -1log(9) = log(441)

Multiply glo * x
2glox + -1log(9) = log(441)

Reorder the terms for easier multiplication:
2glox + -1 * 9glo = log(441)

Multiply -1 * 9
2glox + -9glo = log(441)

Reorder the terms:
-9glo + 2glox = log(441)

Reorder the terms for easier multiplication:
-9glo + 2glox = 441glo

Solving
-9glo + 2glox = 441glo

Solving for variable 'g'.

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

Add '-441glo' to each side of the equation.
-9glo + -441glo + 2glox = 441glo + -441glo

Combine like terms: -9glo + -441glo = -450glo
-450glo + 2glox = 441glo + -441glo

Combine like terms: 441glo + -441glo = 0
-450glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(-225 + x) = 0

Ignore the factor 2.

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 '(-225 + x)' equal to zero and attempt to solve: Simplifying -225 + x = 0 Solving -225 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + x = 0 + 225 Combine like terms: -225 + 225 = 0 0 + x = 0 + 225 x = 0 + 225 Combine like terms: 0 + 225 = 225 x = 225 Add '-1x' to each side of the equation. x + -1x = 225 + -1x Combine like terms: x + -1x = 0 0 = 225 + -1x Simplifying 0 = 225 + -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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