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Simplifying log(7) * 32 = xlog(7) * 2 Reorder the terms for easier multiplication: 7 * 32glo = xlog(7) * 2 Multiply 7 * 32 224glo = xlog(7) * 2 Reorder the terms for easier multiplication: 224glo = 7 * 2glox Multiply 7 * 2 224glo = 14glox Solving 224glo = 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. 224glo + -14glox = 14glox + -14glox Combine like terms: 14glox + -14glox = 0 224glo + -14glox = 0 Factor out the Greatest Common Factor (GCF), '14glo'. 14glo(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Add 'x' to each side of the equation. -1x + x = -16 + x Combine like terms: -1x + x = 0 0 = -16 + x Simplifying 0 = -16 + 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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