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Simplifying Log[4] * 12 + -1log[4] * x = log[4] * 3 Reorder the terms for easier multiplication: 4 * 12goL + -1log[4] * x = log[4] * 3 Multiply 4 * 12 48goL + -1log[4] * x = log[4] * 3 Reorder the terms for easier multiplication: 48goL + -1 * 4glo * x = log[4] * 3 Multiply -1 * 4 48goL + -4glo * x = log[4] * 3 Multiply glo * x 48goL + -4glox = log[4] * 3 Reorder the terms: -4glox + 48goL = log[4] * 3 Reorder the terms for easier multiplication: -4glox + 48goL = 4 * 3glo Multiply 4 * 3 -4glox + 48goL = 12glo Solving -4glox + 48goL = 12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. -4glox + -12glo + 48goL = 12glo + -12glo Reorder the terms: -12glo + -4glox + 48goL = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -12glo + -4glox + 48goL = 0 Factor out the Greatest Common Factor (GCF), '4go'. 4go(-3l + -1lx + 12L) = 0 Ignore the factor 4.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 '(-3l + -1lx + 12L)' equal to zero and attempt to solve: Simplifying -3l + -1lx + 12L = 0 Reorder the terms: 12L + -3l + -1lx = 0 Solving 12L + -3l + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-12L' to each side of the equation. 12L + -3l + -12L + -1lx = 0 + -12L Reorder the terms: 12L + -12L + -3l + -1lx = 0 + -12L Combine like terms: 12L + -12L = 0 0 + -3l + -1lx = 0 + -12L -3l + -1lx = 0 + -12L Remove the zero: -3l + -1lx = -12L Add '3l' to each side of the equation. -3l + 3l + -1lx = -12L + 3l Combine like terms: -3l + 3l = 0 0 + -1lx = -12L + 3l -1lx = -12L + 3l Add 'lx' to each side of the equation. -1lx + lx = -12L + 3l + lx Combine like terms: -1lx + lx = 0 0 = -12L + 3l + lx Simplifying 0 = -12L + 3l + lx 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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