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Simplifying 9xLog[10](7) = (x + -5) * log[10] * 13 Reorder the terms for easier multiplication: 9 * 10 * 7goxL = (x + -5) * log[10] * 13 Multiply 9 * 10 90 * 7goxL = (x + -5) * log[10] * 13 Multiply 90 * 7 630goxL = (x + -5) * log[10] * 13 Reorder the terms: 630goxL = (-5 + x) * log[10] * 13 Reorder the terms for easier multiplication: 630goxL = 10 * 13glo(-5 + x) Multiply 10 * 13 630goxL = 130glo(-5 + x) 630goxL = (-5 * 130glo + x * 130glo) 630goxL = (-650glo + 130glox) Solving 630goxL = -650glo + 130glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '650glo' to each side of the equation. 650glo + 630goxL = -650glo + 650glo + 130glox Combine like terms: -650glo + 650glo = 0 650glo + 630goxL = 0 + 130glox 650glo + 630goxL = 130glox Add '-130glox' to each side of the equation. 650glo + -130glox + 630goxL = 130glox + -130glox Combine like terms: 130glox + -130glox = 0 650glo + -130glox + 630goxL = 0 Factor out the Greatest Common Factor (GCF), '10go'. 10go(65l + -13lx + 63xL) = 0 Ignore the factor 10.Subproblem 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 '(65l + -13lx + 63xL)' equal to zero and attempt to solve: Simplifying 65l + -13lx + 63xL = 0 Solving 65l + -13lx + 63xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-65l' to each side of the equation. 65l + -13lx + -65l + 63xL = 0 + -65l Reorder the terms: 65l + -65l + -13lx + 63xL = 0 + -65l Combine like terms: 65l + -65l = 0 0 + -13lx + 63xL = 0 + -65l -13lx + 63xL = 0 + -65l Remove the zero: -13lx + 63xL = -65l Add '13lx' to each side of the equation. -13lx + 13lx + 63xL = -65l + 13lx Combine like terms: -13lx + 13lx = 0 0 + 63xL = -65l + 13lx 63xL = -65l + 13lx Add '-63xL' to each side of the equation. 63xL + -63xL = -65l + 13lx + -63xL Combine like terms: 63xL + -63xL = 0 0 = -65l + 13lx + -63xL Simplifying 0 = -65l + 13lx + -63xL 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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