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Simplifying Log(15) + -1log(x) = log(2x + -7) Reorder the terms for easier multiplication: 15goL + -1log(x) = log(2x + -7) Multiply glo * x 15goL + -1glox = log(2x + -7) Reorder the terms: -1glox + 15goL = log(2x + -7) Reorder the terms: -1glox + 15goL = glo(-7 + 2x) -1glox + 15goL = (-7 * glo + 2x * glo) -1glox + 15goL = (-7glo + 2glox) Solving -1glox + 15goL = -7glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7glo' to each side of the equation. -1glox + 7glo + 15goL = -7glo + 7glo + 2glox Reorder the terms: 7glo + -1glox + 15goL = -7glo + 7glo + 2glox Combine like terms: -7glo + 7glo = 0 7glo + -1glox + 15goL = 0 + 2glox 7glo + -1glox + 15goL = 2glox Add '-2glox' to each side of the equation. 7glo + -1glox + -2glox + 15goL = 2glox + -2glox Combine like terms: -1glox + -2glox = -3glox 7glo + -3glox + 15goL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 7glo + -3glox + 15goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(7l + -3lx + 15L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(7l + -3lx + 15L)' equal to zero and attempt to solve: Simplifying 7l + -3lx + 15L = 0 Reorder the terms: 15L + 7l + -3lx = 0 Solving 15L + 7l + -3lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-15L' to each side of the equation. 15L + 7l + -15L + -3lx = 0 + -15L Reorder the terms: 15L + -15L + 7l + -3lx = 0 + -15L Combine like terms: 15L + -15L = 0 0 + 7l + -3lx = 0 + -15L 7l + -3lx = 0 + -15L Remove the zero: 7l + -3lx = -15L Add '-7l' to each side of the equation. 7l + -7l + -3lx = -15L + -7l Combine like terms: 7l + -7l = 0 0 + -3lx = -15L + -7l -3lx = -15L + -7l Add '3lx' to each side of the equation. -3lx + 3lx = -15L + -7l + 3lx Combine like terms: -3lx + 3lx = 0 0 = -15L + -7l + 3lx Simplifying 0 = -15L + -7l + 3lx 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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