2log(x)-log(7x-1)=0

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Solution for 2log(x)-log(7x-1)=0 equation:


Simplifying
2log(x) + -1log(7x + -1) = 0

Multiply glo * x
2glox + -1log(7x + -1) = 0

Reorder the terms:
2glox + -1glo(-1 + 7x) = 0
2glox + (-1 * -1glo + 7x * -1glo) = 0
2glox + (1glo + -7glox) = 0

Reorder the terms:
1glo + 2glox + -7glox = 0

Combine like terms: 2glox + -7glox = -5glox
1glo + -5glox = 0

Solving
1glo + -5glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Add '5x' to each side of the equation. -5x + 5x = -1 + 5x Combine like terms: -5x + 5x = 0 0 = -1 + 5x Simplifying 0 = -1 + 5x 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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