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Simplifying Log[4] * 48 + -1log[4] * x = log[4] * 6 Reorder the terms for easier multiplication: 4 * 48goL + -1log[4] * x = log[4] * 6 Multiply 4 * 48 192goL + -1log[4] * x = log[4] * 6 Reorder the terms for easier multiplication: 192goL + -1 * 4glo * x = log[4] * 6 Multiply -1 * 4 192goL + -4glo * x = log[4] * 6 Multiply glo * x 192goL + -4glox = log[4] * 6 Reorder the terms: -4glox + 192goL = log[4] * 6 Reorder the terms for easier multiplication: -4glox + 192goL = 4 * 6glo Multiply 4 * 6 -4glox + 192goL = 24glo Solving -4glox + 192goL = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -4glox + -24glo + 192goL = 24glo + -24glo Reorder the terms: -24glo + -4glox + 192goL = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -24glo + -4glox + 192goL = 0 Factor out the Greatest Common Factor (GCF), '4go'. 4go(-6l + -1lx + 48L) = 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 '(-6l + -1lx + 48L)' equal to zero and attempt to solve: Simplifying -6l + -1lx + 48L = 0 Reorder the terms: 48L + -6l + -1lx = 0 Solving 48L + -6l + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-48L' to each side of the equation. 48L + -6l + -48L + -1lx = 0 + -48L Reorder the terms: 48L + -48L + -6l + -1lx = 0 + -48L Combine like terms: 48L + -48L = 0 0 + -6l + -1lx = 0 + -48L -6l + -1lx = 0 + -48L Remove the zero: -6l + -1lx = -48L Add '6l' to each side of the equation. -6l + 6l + -1lx = -48L + 6l Combine like terms: -6l + 6l = 0 0 + -1lx = -48L + 6l -1lx = -48L + 6l Add 'lx' to each side of the equation. -1lx + lx = -48L + 6l + lx Combine like terms: -1lx + lx = 0 0 = -48L + 6l + lx Simplifying 0 = -48L + 6l + 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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