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Simplifying Log[6] * 5 + log[6] * 5x = log[6] * 17 Reorder the terms for easier multiplication: 6 * 5goL + log[6] * 5x = log[6] * 17 Multiply 6 * 5 30goL + log[6] * 5x = log[6] * 17 Reorder the terms for easier multiplication: 30goL + 6 * 5glo * x = log[6] * 17 Multiply 6 * 5 30goL + 30glo * x = log[6] * 17 Multiply glo * x 30goL + 30glox = log[6] * 17 Reorder the terms: 30glox + 30goL = log[6] * 17 Reorder the terms for easier multiplication: 30glox + 30goL = 6 * 17glo Multiply 6 * 17 30glox + 30goL = 102glo Solving 30glox + 30goL = 102glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-102glo' to each side of the equation. 30glox + -102glo + 30goL = 102glo + -102glo Reorder the terms: -102glo + 30glox + 30goL = 102glo + -102glo Combine like terms: 102glo + -102glo = 0 -102glo + 30glox + 30goL = 0 Factor out the Greatest Common Factor (GCF), '6go'. 6go(-17l + 5lx + 5L) = 0 Ignore the factor 6.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 '(-17l + 5lx + 5L)' equal to zero and attempt to solve: Simplifying -17l + 5lx + 5L = 0 Reorder the terms: 5L + -17l + 5lx = 0 Solving 5L + -17l + 5lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -17l + -5L + 5lx = 0 + -5L Reorder the terms: 5L + -5L + -17l + 5lx = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -17l + 5lx = 0 + -5L -17l + 5lx = 0 + -5L Remove the zero: -17l + 5lx = -5L Add '17l' to each side of the equation. -17l + 17l + 5lx = -5L + 17l Combine like terms: -17l + 17l = 0 0 + 5lx = -5L + 17l 5lx = -5L + 17l Add '-5lx' to each side of the equation. 5lx + -5lx = -5L + 17l + -5lx Combine like terms: 5lx + -5lx = 0 0 = -5L + 17l + -5lx Simplifying 0 = -5L + 17l + -5lx 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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