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Simplifying log(7)(2) + -1log(7)(x) = log(7)(6) Reorder the terms for easier multiplication: 7 * 2glo + -1log(7)(x) = log(7)(6) Multiply 7 * 2 14glo + -1log(7)(x) = log(7)(6) Reorder the terms for easier multiplication: 14glo + -1 * 7glo * x = log(7)(6) Multiply -1 * 7 14glo + -7glo * x = log(7)(6) Multiply glo * x 14glo + -7glox = log(7)(6) Reorder the terms for easier multiplication: 14glo + -7glox = 7 * 6glo Multiply 7 * 6 14glo + -7glox = 42glo Solving 14glo + -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. 14glo + -42glo + -7glox = 42glo + -42glo Combine like terms: 14glo + -42glo = -28glo -28glo + -7glox = 42glo + -42glo Combine like terms: 42glo + -42glo = 0 -28glo + -7glox = 0 Factor out the Greatest Common Factor (GCF), '-7glo'. -7glo(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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