2*log(x)+log(4)=log(70)-log(5)

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Solution for 2*log(x)+log(4)=log(70)-log(5) equation:


Simplifying
2log(x) + log(4) = log(70) + -1log(5)

Multiply glo * x
2glox + log(4) = log(70) + -1log(5)

Reorder the terms for easier multiplication:
2glox + 4glo = log(70) + -1log(5)

Reorder the terms:
4glo + 2glox = log(70) + -1log(5)

Reorder the terms for easier multiplication:
4glo + 2glox = 70glo + -1log(5)

Reorder the terms for easier multiplication:
4glo + 2glox = 70glo + -1 * 5glo

Multiply -1 * 5
4glo + 2glox = 70glo + -5glo

Combine like terms: 70glo + -5glo = 65glo
4glo + 2glox = 65glo

Solving
4glo + 2glox = 65glo

Solving for variable 'g'.

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

Add '-65glo' to each side of the equation.
4glo + -65glo + 2glox = 65glo + -65glo

Combine like terms: 4glo + -65glo = -61glo
-61glo + 2glox = 65glo + -65glo

Combine like terms: 65glo + -65glo = 0
-61glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-61 + 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 '(-61 + 2x)' equal to zero and attempt to solve: Simplifying -61 + 2x = 0 Solving -61 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 2x = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 2x = 0 + 61 2x = 0 + 61 Combine like terms: 0 + 61 = 61 2x = 61 Add '-2x' to each side of the equation. 2x + -2x = 61 + -2x Combine like terms: 2x + -2x = 0 0 = 61 + -2x Simplifying 0 = 61 + -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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