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