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Simplifying 2log(7)(x) + -1log(7)(x + 6) = 3log(7)(2) Reorder the terms for easier multiplication: 2 * 7glo * x + -1log(7)(x + 6) = 3log(7)(2) Multiply 2 * 7 14glo * x + -1log(7)(x + 6) = 3log(7)(2) Multiply glo * x 14glox + -1log(7)(x + 6) = 3log(7)(2) Reorder the terms: 14glox + -1glo * 7(6 + x) = 3log(7)(2) Reorder the terms for easier multiplication: 14glox + -1 * 7glo(6 + x) = 3log(7)(2) Multiply -1 * 7 14glox + -7glo(6 + x) = 3log(7)(2) 14glox + (6 * -7glo + x * -7glo) = 3log(7)(2) 14glox + (-42glo + -7glox) = 3log(7)(2) Reorder the terms: -42glo + 14glox + -7glox = 3log(7)(2) Combine like terms: 14glox + -7glox = 7glox -42glo + 7glox = 3log(7)(2) Reorder the terms for easier multiplication: -42glo + 7glox = 3 * 7 * 2glo Multiply 3 * 7 -42glo + 7glox = 21 * 2glo Multiply 21 * 2 -42glo + 7glox = 42glo Solving -42glo + 7glox = 42glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-42glo' to each side of the equation. -42glo + -42glo + 7glox = 42glo + -42glo Combine like terms: -42glo + -42glo = -84glo -84glo + 7glox = 42glo + -42glo Combine like terms: 42glo + -42glo = 0 -84glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-12 + x) = 0 Ignore the factor 7.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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Add '-1x' to each side of the equation. x + -1x = 12 + -1x Combine like terms: x + -1x = 0 0 = 12 + -1x Simplifying 0 = 12 + -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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