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Simplifying Log[14](3) + log[14](x2) = log[14](-3x + 18) Reorder the terms for easier multiplication: 14 * 3goL + log[14](x2) = log[14](-3x + 18) Multiply 14 * 3 42goL + log[14](x2) = log[14](-3x + 18) Reorder the terms for easier multiplication: 42goL + 14glo * x2 = log[14](-3x + 18) Multiply glo * x2 42goL + 14glox2 = log[14](-3x + 18) Reorder the terms: 14glox2 + 42goL = log[14](-3x + 18) Reorder the terms: 14glox2 + 42goL = glo * 14(18 + -3x) Reorder the terms for easier multiplication: 14glox2 + 42goL = 14glo(18 + -3x) 14glox2 + 42goL = (18 * 14glo + -3x * 14glo) 14glox2 + 42goL = (252glo + -42glox) Solving 14glox2 + 42goL = 252glo + -42glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-252glo' to each side of the equation. 14glox2 + -252glo + 42goL = 252glo + -252glo + -42glox Reorder the terms: -252glo + 14glox2 + 42goL = 252glo + -252glo + -42glox Combine like terms: 252glo + -252glo = 0 -252glo + 14glox2 + 42goL = 0 + -42glox -252glo + 14glox2 + 42goL = -42glox Add '42glox' to each side of the equation. -252glo + 14glox2 + 42glox + 42goL = -42glox + 42glox Reorder the terms: -252glo + 42glox + 14glox2 + 42goL = -42glox + 42glox Combine like terms: -42glox + 42glox = 0 -252glo + 42glox + 14glox2 + 42goL = 0 Factor out the Greatest Common Factor (GCF), '14go'. 14go(-18l + 3lx + lx2 + 3L) = 0 Ignore the factor 14.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 '(-18l + 3lx + lx2 + 3L)' equal to zero and attempt to solve: Simplifying -18l + 3lx + lx2 + 3L = 0 Reorder the terms: 3L + -18l + 3lx + lx2 = 0 Solving 3L + -18l + 3lx + lx2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -18l + 3lx + -3L + lx2 = 0 + -3L Reorder the terms: 3L + -3L + -18l + 3lx + lx2 = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -18l + 3lx + lx2 = 0 + -3L -18l + 3lx + lx2 = 0 + -3L Remove the zero: -18l + 3lx + lx2 = -3L Add '18l' to each side of the equation. -18l + 3lx + 18l + lx2 = -3L + 18l Reorder the terms: -18l + 18l + 3lx + lx2 = -3L + 18l Combine like terms: -18l + 18l = 0 0 + 3lx + lx2 = -3L + 18l 3lx + lx2 = -3L + 18l Add '-3lx' to each side of the equation. 3lx + -3lx + lx2 = -3L + 18l + -3lx Combine like terms: 3lx + -3lx = 0 0 + lx2 = -3L + 18l + -3lx lx2 = -3L + 18l + -3lx Add '-1lx2' to each side of the equation. lx2 + -1lx2 = -3L + 18l + -3lx + -1lx2 Combine like terms: lx2 + -1lx2 = 0 0 = -3L + 18l + -3lx + -1lx2 Simplifying 0 = -3L + 18l + -3lx + -1lx2 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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