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Simplifying Log * 8 = Log(x + 7) + -1log * 13 Reorder the terms for easier multiplication: 8goL = Log(x + 7) + -1log * 13 Reorder the terms: 8goL = goL(7 + x) + -1log * 13 8goL = (7 * goL + x * goL) + -1log * 13 8goL = (7goL + goxL) + -1log * 13 Reorder the terms for easier multiplication: 8goL = 7goL + goxL + -1 * 13glo Multiply -1 * 13 8goL = 7goL + goxL + -13glo Reorder the terms: 8goL = -13glo + 7goL + goxL Solving 8goL = -13glo + 7goL + goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '13glo' to each side of the equation. 13glo + 8goL = -13glo + 7goL + 13glo + goxL Reorder the terms: 13glo + 8goL = -13glo + 13glo + 7goL + goxL Combine like terms: -13glo + 13glo = 0 13glo + 8goL = 0 + 7goL + goxL 13glo + 8goL = 7goL + goxL Add '-7goL' to each side of the equation. 13glo + 8goL + -7goL = 7goL + -7goL + goxL Combine like terms: 8goL + -7goL = 1goL 13glo + 1goL = 7goL + -7goL + goxL Combine like terms: 7goL + -7goL = 0 13glo + 1goL = 0 + goxL 13glo + 1goL = goxL Add '-1goxL' to each side of the equation. 13glo + 1goL + -1goxL = goxL + -1goxL Combine like terms: goxL + -1goxL = 0 13glo + 1goL + -1goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(13l + L + -1xL) = 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 '(13l + L + -1xL)' equal to zero and attempt to solve: Simplifying 13l + L + -1xL = 0 Reorder the terms: L + 13l + -1xL = 0 Solving L + 13l + -1xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 13l + -1L + -1xL = 0 + -1L Reorder the terms: L + -1L + 13l + -1xL = 0 + -1L Combine like terms: L + -1L = 0 0 + 13l + -1xL = 0 + -1L 13l + -1xL = 0 + -1L Remove the zero: 13l + -1xL = -1L Add '-13l' to each side of the equation. 13l + -13l + -1xL = -1L + -13l Combine like terms: 13l + -13l = 0 0 + -1xL = -1L + -13l -1xL = -1L + -13l Add 'xL' to each side of the equation. -1xL + xL = -1L + -13l + xL Combine like terms: -1xL + xL = 0 0 = -1L + -13l + xL Simplifying 0 = -1L + -13l + xL 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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