(2*log(x))-log(7)=log(112)

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Solution for (2*log(x))-log(7)=log(112) equation:


Simplifying
(2log(x)) + -1log(7) = log(112)

Multiply glo * x
(2glox) + -1log(7) = log(112)

Reorder the terms for easier multiplication:
(2glox) + -1 * 7glo = log(112)

Multiply -1 * 7
(2glox) + -7glo = log(112)

Reorder the terms:
-7glo + (2glox) = log(112)

Reorder the terms for easier multiplication:
-7glo + (2glox) = 112glo

Solving
-7glo + (2glox) = 112glo

Solving for variable 'g'.

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

Add '-112glo' to each side of the equation.
-7glo + -112glo + (2glox) = 112glo + -112glo

Combine like terms: -7glo + -112glo = -119glo
-119glo + (2glox) = 112glo + -112glo

Combine like terms: 112glo + -112glo = 0
-119glo + (2glox) = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-119 + (2x)) = 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 '(-119 + (2x))' equal to zero and attempt to solve: Simplifying -119 + (2x) = 0 Solving -119 + (2x) = 0 Move all terms containing g to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + (2x) = 0 + 119 Combine like terms: -119 + 119 = 0 0 + (2x) = 0 + 119 (2x) = 0 + 119 Combine like terms: 0 + 119 = 119 (2x) = 119 Add '(-2x)' to each side of the equation. (2x) + (-2x) = 119 + (-2x) Combine like terms: (2x) + (-2x) = 0 0 = 119 + (-2x) Simplifying 0 = 119 + (-2x) 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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